28587431952 has 160 divisors (see below), whose sum is σ = 87939490560. Its totient is φ = 8868372480.

The previous prime is 28587431947. The next prime is 28587431959. The reversal of 28587431952 is 25913478582.

28587431952 is a `hidden beast` number, since 2 + 8 + 587 + 4 + 3 + 1 + 9 + 52 = 666.

It is a super-2 number, since 2×28587431952² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28587431959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328752 + ... + 406512.

It is an arithmetic number, because the mean of its divisors is an integer number (549621816).

Almost surely, 2^28587431952 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 28587431952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43969745280).

28587431952 is an abundant number, since it is smaller than the sum of its proper divisors (59352058608).

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

28587431952 is a wasteful number, since it uses less digits than its factorization.

28587431952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77838 (or 77826 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 28587431952 in words is "twenty-eight billion, five hundred eighty-seven million, four hundred thirty-one thousand, nine hundred fifty-two".