28993565952 has 288 divisors, whose sum is σ = 96355795200. Its totient is φ = 8532615168.

The previous prime is 28993565921. The next prime is 28993565963. The reversal of 28993565952 is 25956539982.

28993565952 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 35 + 6 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×28993565952² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28993565952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2059674 + ... + 2073702.

Almost surely, 2^28993565952 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 28993565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48177897600).

28993565952 is an abundant number, since it is smaller than the sum of its proper divisors (67362229248).

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

28993565952 is a wasteful number, since it uses less digits than its factorization.

28993565952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14090 (or 14070 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 63.

The spelling of 28993565952 in words is "twenty-eight billion, nine hundred ninety-three million, five hundred sixty-five thousand, nine hundred fifty-two".