Search a number
-
+
28311151428 = 2235747223397
BaseRepresentation
bin11010010111011110…
…011110001101000100
32201002001102111200000
4122113132132031010
5430440123321203
621001142121300
72021401550040
oct322736361504
981061374600
1028311151428
11110089a810a
1255a1420230
132892521511
141528027020
15b0a7294a3
hex69779e344

28311151428 has 288 divisors, whose sum is σ = 87229169664. Its totient is φ = 7861442688.

The previous prime is 28311151423. The next prime is 28311151447. The reversal of 28311151428 is 82415111382.

It is a happy number.

28311151428 is a `hidden beast` number, since 2 + 8 + 3 + 111 + 514 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28311151392 and 28311151401.

It is not an unprimeable number, because it can be changed into a prime (28311151423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71312526 + ... + 71312922.

Almost surely, 228311151428 is an apocalyptic number.

28311151428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28311151428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43614584832).

28311151428 is an abundant number, since it is smaller than the sum of its proper divisors (58918018236).

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

28311151428 is a wasteful number, since it uses less digits than its factorization.

28311151428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 679 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The spelling of 28311151428 in words is "twenty-eight billion, three hundred eleven million, one hundred fifty-one thousand, four hundred twenty-eight".