28903294004256 has 1440 divisors, whose sum is σ = 105538620116160. Its totient is φ = 7715242192896.

The previous prime is 28903294004231. The next prime is 28903294004267. The reversal of 28903294004256 is 65240049230982.

28903294004256 is a `hidden beast` number, since 28 + 9 + 0 + 329 + 40 + 0 + 4 + 256 = 666.

It is a super-2 number, since 2×28903294004256² (a number of 28 digits) contains 22 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 77488723686 + ... + 77488724058.

It is an arithmetic number, because the mean of its divisors is an integer number (73290708414).

Almost surely, 2^{28903294004256} 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 28903294004256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52769310058080).

28903294004256 is an abundant number, since it is smaller than the sum of its proper divisors (76635326111904).

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

28903294004256 is a wasteful number, since it uses less digits than its factorization.

28903294004256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 28903294004256 in words is "twenty-eight trillion, nine hundred three billion, two hundred ninety-four million, four thousand, two hundred fifty-six".