28874669760 has 336 divisors, whose sum is σ = 105303474432. Its totient is φ = 7249305600.

The previous prime is 28874669753. The next prime is 28874669783. The reversal of 28874669760 is 6796647882.

28874669760 is a `hidden beast` number, since 2 + 8 + 87 + 466 + 97 + 6 + 0 = 666.

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, 3298990 + ... + 3307730.

Almost surely, 2^28874669760 is an apocalyptic number.

28874669760 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 28874669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52651737216).

28874669760 is an abundant number, since it is smaller than the sum of its proper divisors (76428804672).

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

28874669760 is a wasteful number, since it uses less digits than its factorization.

28874669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8819 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 28874669760 in words is "twenty-eight billion, eight hundred seventy-four million, six hundred sixty-nine thousand, seven hundred sixty".