28537589520 has 480 divisors, whose sum is σ = 109475743104. Its totient is φ = 6851174400.

The previous prime is 28537589513. The next prime is 28537589527. The reversal of 28537589520 is 2598573582.

28537589520 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 7 + 589 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28537589513) and next prime (28537589527).

It is a super-2 number, since 2×28537589520² (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 (28537589527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24163330 + ... + 24164510.

Almost surely, 2^28537589520 is an apocalyptic number.

28537589520 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 28537589520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54737871552).

28537589520 is an abundant number, since it is smaller than the sum of its proper divisors (80938153584).

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

28537589520 is a wasteful number, since it uses less digits than its factorization.

28537589520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 28537589520 in words is "twenty-eight billion, five hundred thirty-seven million, five hundred eighty-nine thousand, five hundred twenty".