28312305840 has 1200 divisors, whose sum is σ = 130028865120. Its totient is φ = 5659186176.

The previous prime is 28312305829. The next prime is 28312305851. The reversal of 28312305840 is 4850321382.

28312305840 is a `hidden beast` number, since 28 + 31 + 23 + 0 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28312305829) and next prime (28312305851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28312305795 and 28312305804.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1490121351 + ... + 1490121369.

Almost surely, 2^28312305840 is an apocalyptic number.

28312305840 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 28312305840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65014432560).

28312305840 is an abundant number, since it is smaller than the sum of its proper divisors (101716559280).

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

28312305840 is a wasteful number, since it uses less digits than its factorization.

28312305840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28312305840 in words is "twenty-eight billion, three hundred twelve million, three hundred five thousand, eight hundred forty".