28304583840 has 768 divisors, whose sum is σ = 117965030400. Its totient is φ = 6267469824.

The previous prime is 28304583743. The next prime is 28304583877. The reversal of 28304583840 is 4838540382.

28304583840 is a `hidden beast` number, since 28 + 3 + 0 + 4 + 583 + 8 + 40 = 666.

It is a super-2 number, since 2×28304583840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21957916 + ... + 21959204.

It is an arithmetic number, because the mean of its divisors is an integer number (153600300).

Almost surely, 2^28304583840 is an apocalyptic number.

28304583840 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 28304583840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58982515200).

28304583840 is an abundant number, since it is smaller than the sum of its proper divisors (89660446560).

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

28304583840 is a wasteful number, since it uses less digits than its factorization.

28304583840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 28304583840 in words is "twenty-eight billion, three hundred four million, five hundred eighty-three thousand, eight hundred forty".