28074902994432 has 1440 divisors, whose sum is σ = 99615146222592. Its totient is φ = 7869811654656.

The previous prime is 28074902994409. The next prime is 28074902994497. The reversal of 28074902994432 is 23449920947082.

28074902994432 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 4 + 90 + 29 + 94 + 432 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28074902994432.

It is a congruent number.

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, 125896425873 + ... + 125896426095.

Almost surely, 2^{28074902994432} 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 28074902994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49807573111296).

28074902994432 is an abundant number, since it is smaller than the sum of its proper divisors (71540243228160).

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

28074902994432 is a wasteful number, since it uses less digits than its factorization.

28074902994432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 28074902994432 in words is "twenty-eight trillion, seventy-four billion, nine hundred two million, nine hundred ninety-four thousand, four hundred thirty-two".