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2828352528 = 2432411632939
BaseRepresentation
bin1010100010010101…
…0011110000010000
321022010001012021100
42220211103300100
521243024240103
61144353224400
7130042412511
oct25045236020
97263035240
102828352528
111221593131
1266b262100
13360c763a1
141cb8c4a08
1511848a5a3
hexa8953c10

2828352528 has 120 divisors (see below), whose sum is σ = 8161040160. Its totient is φ = 913835520.

The previous prime is 2828352523. The next prime is 2828352547. The reversal of 2828352528 is 8252538282.

2828352528 is a `hidden beast` number, since 28 + 2 + 83 + 525 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (2828352523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 960883 + ... + 963821.

It is an arithmetic number, because the mean of its divisors is an integer number (68008668).

Almost surely, 22828352528 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 2828352528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080520080).

2828352528 is an abundant number, since it is smaller than the sum of its proper divisors (5332687632).

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

2828352528 is a wasteful number, since it uses less digits than its factorization.

2828352528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3148 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 2828352528 is about 53182.2576429395. The cubic root of 2828352528 is about 1414.2011294728.

The spelling of 2828352528 in words is "two billion, eight hundred twenty-eight million, three hundred fifty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 163 164 246 326 328 369 489 492 652 656 738 978 984 1304 1467 1476 1956 1968 2608 2934 2939 2952 3912 5868 5878 5904 6683 7824 8817 11736 11756 13366 17634 20049 23472 23512 26451 26732 35268 40098 47024 52902 53464 60147 70536 80196 105804 106928 120294 120499 141072 160392 211608 240588 240998 320784 361497 423216 479057 481176 481996 722994 958114 962352 963992 1084491 1437171 1445988 1916228 1927984 2168982 2874342 2891976 3832456 4311513 4337964 5748684 5783952 7664912 8623026 8675928 11497368 17246052 17351856 19641337 22994736 34492104 39282674 58924011 68984208 78565348 117848022 157130696 176772033 235696044 314261392 353544066 471392088 707088132 942784176 1414176264 2828352528