28264878694080 has 560 divisors, whose sum is σ = 115219820660736. Its totient is φ = 6442924861440.

The previous prime is 28264878694069. The next prime is 28264878694141. The reversal of 28264878694080 is 8049687846282.

28264878694080 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 487 + 8 + 69 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 66376245 + ... + 66800715.

Almost surely, 2^{28264878694080} is an apocalyptic number.

28264878694080 is a gapful number since it is divisible by the number (20) 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 28264878694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57609910330368).

28264878694080 is an abundant number, since it is smaller than the sum of its proper divisors (86954941966656).

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

28264878694080 is a wasteful number, since it uses less digits than its factorization.

28264878694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424874 (or 424855 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 28264878694080 in words is "twenty-eight trillion, two hundred sixty-four billion, eight hundred seventy-eight million, six hundred ninety-four thousand, eighty".