28608534240 has 384 divisors, whose sum is σ = 106562760192. Its totient is φ = 6360145920.

The previous prime is 28608534209. The next prime is 28608534299. The reversal of 28608534240 is 4243580682.

It is a super-2 number, since 2×28608534240² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28608534192 and 28608534201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11187042 + ... + 11189598.

It is an arithmetic number, because the mean of its divisors is an integer number (277507188).

Almost surely, 2^28608534240 is an apocalyptic number.

28608534240 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 28608534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53281380096).

28608534240 is an abundant number, since it is smaller than the sum of its proper divisors (77954225952).

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

28608534240 is a wasteful number, since it uses less digits than its factorization.

28608534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 28608534240 in words is "twenty-eight billion, six hundred eight million, five hundred thirty-four thousand, two hundred forty".