28880913531456 has 896 divisors, whose sum is σ = 103475926794240. Its totient is φ = 7721482070016.

The previous prime is 28880913531391. The next prime is 28880913531487. The reversal of 28880913531456 is 65413531908882.

28880913531456 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 0 + 91 + 3 + 531 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×28880913531456² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 28880913531393 and 28880913531402.

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 127 ways as a sum of consecutive naturals, for example, 2378394121 + ... + 2378406263.

It is an arithmetic number, because the mean of its divisors is an integer number (115486525440).

Almost surely, 2^{28880913531456} 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 28880913531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51737963397120).

28880913531456 is an abundant number, since it is smaller than the sum of its proper divisors (74595013262784).

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

28880913531456 is a wasteful number, since it uses less digits than its factorization.

28880913531456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12380 (or 12364 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 28880913531456 in words is "twenty-eight trillion, eight hundred eighty billion, nine hundred thirteen million, five hundred thirty-one thousand, four hundred fifty-six".