28322625240 has 480 divisors, whose sum is σ = 119264579280. Its totient is φ = 5975327232.

The previous prime is 28322625239. The next prime is 28322625269. The reversal of 28322625240 is 4252622382.

28322625240 is a `hidden beast` number, since 2 + 8 + 3 + 2 + 2 + 625 + 24 + 0 = 666.

It is a super-2 number, since 2×28322625240² (a number of 22 digits) contains 22 as substring.

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 = 28322625195 and 28322625204.

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 119 ways as a sum of consecutive naturals, for example, 2057019 + ... + 2070741.

Almost surely, 2^28322625240 is an apocalyptic number.

28322625240 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 28322625240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59632289640).

28322625240 is an abundant number, since it is smaller than the sum of its proper divisors (90941954040).

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

28322625240 is a wasteful number, since it uses less digits than its factorization.

28322625240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13773 (or 13753 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 2832 and 2625240, that added together give a cube (2628072 = 138³).

The spelling of 28322625240 in words is "twenty-eight billion, three hundred twenty-two million, six hundred twenty-five thousand, two hundred forty".