28032927664896 has 1296 divisors, whose sum is σ = 105816003052032. Its totient is φ = 6933388492800.

The previous prime is 28032927664853. The next prime is 28032927664981. The reversal of 28032927664896 is 69846672923082.

28032927664896 is a `hidden beast` number, since 2 + 80 + 3 + 2 + 9 + 2 + 7 + 66 + 489 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26371521261 + ... + 26371522323.

Almost surely, 2^{28032927664896} 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 28032927664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52908001526016).

28032927664896 is an abundant number, since it is smaller than the sum of its proper divisors (77783075387136).

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

28032927664896 is a wasteful number, since it uses less digits than its factorization.

28032927664896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 28032927664896 in words is "twenty-eight trillion, thirty-two billion, nine hundred twenty-seven million, six hundred sixty-four thousand, eight hundred ninety-six".