28516320 has 384 divisors, whose sum is σ = 121927680. Its totient is φ = 6082560.

The previous prime is 28516303. The next prime is 28516331. The reversal of 28516320 is 2361582.

28516320 is a `hidden beast` number, since 28 + 5 + 1 + 632 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695500 + ... + 695540.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^28516320 is an apocalyptic number.

28516320 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 28516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

28516320 is an abundant number, since it is smaller than the sum of its proper divisors (93411360).

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

28516320 is a wasteful number, since it uses less digits than its factorization.

28516320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 28516320 is about 5340.0674153048. The cubic root of 28516320 is about 305.5140306227.

The spelling of 28516320 in words is "twenty-eight million, five hundred sixteen thousand, three hundred twenty".