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28628890452 = 2235193741897
BaseRepresentation
bin11010101010011010…
…100011001101010100
32201220012022022200000
4122222122203031110
5432112443443302
621052452251300
72032310360631
oct325232431524
981805268600
1028628890452
1111161298148
12566b910b30
1329132c0586
1415582d7188
15b2858e31c
hex6aa6a3354

28628890452 has 144 divisors (see below), whose sum is σ = 81134639040. Its totient is φ = 8796148992.

The previous prime is 28628890447. The next prime is 28628890483. The reversal of 28628890452 is 25409882682.

It is a happy number.

28628890452 is a `hidden beast` number, since 2 + 8 + 628 + 8 + 9 + 0 + 4 + 5 + 2 = 666.

It is a super-2 number, since 2×286288904522 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662368 + ... + 704264.

Almost surely, 228628890452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28628890452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40567319520).

28628890452 is an abundant number, since it is smaller than the sum of its proper divisors (52505748588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28628890452 is a wasteful number, since it uses less digits than its factorization.

28628890452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41972 (or 41958 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 28628890452 in words is "twenty-eight billion, six hundred twenty-eight million, eight hundred ninety thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 81 108 111 114 148 162 171 222 228 243 324 333 342 444 486 513 666 684 703 972 999 1026 1332 1406 1539 1998 2052 2109 2812 2997 3078 3996 4218 4617 5994 6156 6327 8436 8991 9234 11988 12654 17982 18468 18981 25308 35964 37962 41897 56943 75924 83794 113886 125691 167588 170829 227772 251382 341658 377073 502764 683316 754146 796043 1131219 1508292 1550189 1592086 2262438 2388129 3100378 3184172 3393657 4524876 4650567 4776258 6200756 6787314 7164387 9301134 9552516 10180971 13574628 13951701 14328774 18602268 20361942 21493161 27903402 28657548 29453591 40723884 41855103 42986322 55806804 58907182 64479483 83710206 85972644 88360773 117814364 125565309 128958966 167420412 176721546 193438449 251130618 257917932 265082319 353443092 376695927 386876898 502261236 530164638 753391854 773753796 795246957 1060329276 1506783708 1590493914 2385740871 3180987828 4771481742 7157222613 9542963484 14314445226 28628890452