28914648956928 has 720 divisors, whose sum is σ = 102539739120000. Its totient is φ = 7826261409792.

The previous prime is 28914648956891. The next prime is 28914648956953. The reversal of 28914648956928 is 82965984641982.

28914648956928 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 4 + 6 + 48 + 9 + 569 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960955708 + ... + 960985796.

Almost surely, 2^{28914648956928} is an apocalyptic number.

28914648956928 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 28914648956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51269869560000).

28914648956928 is an abundant number, since it is smaller than the sum of its proper divisors (73625090163072).

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

28914648956928 is an equidigital number, since it uses as much as digits as its factorization.

28914648956928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30163 (or 30120 counting only the distinct ones).

The product of its digits is 4299816960, while the sum is 81.

The spelling of 28914648956928 in words is "twenty-eight trillion, nine hundred fourteen billion, six hundred forty-eight million, nine hundred fifty-six thousand, nine hundred twenty-eight".