28049001124032 has 504 divisors, whose sum is σ = 96676828784640. Its totient is φ = 7744523996160.

The previous prime is 28049001123973. The next prime is 28049001124051. The reversal of 28049001124032 is 23042110094082.

28049001124032 is a `hidden beast` number, since 28 + 0 + 490 + 0 + 112 + 4 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 629062443 + ... + 629107029.

Almost surely, 2^{28049001124032} 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 28049001124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48338414392320).

28049001124032 is an abundant number, since it is smaller than the sum of its proper divisors (68627827660608).

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

28049001124032 is a wasteful number, since it uses less digits than its factorization.

28049001124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45369 (or 45349 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28049001124032 in words is "twenty-eight trillion, forty-nine billion, one million, one hundred twenty-four thousand, thirty-two".