28591920 has 320 divisors, whose sum is σ = 118087680. Its totient is φ = 6220800.

The previous prime is 28591919. The next prime is 28591939. The reversal of 28591920 is 2919582.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468690 + ... + 468750.

It is an arithmetic number, because the mean of its divisors is an integer number (369024).

Almost surely, 2^28591920 is an apocalyptic number.

28591920 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 28591920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59043840).

28591920 is an abundant number, since it is smaller than the sum of its proper divisors (89495760).

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

28591920 is a wasteful number, since it uses less digits than its factorization.

28591920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 28591920 is about 5347.1412923169. The cubic root of 28591920 is about 305.7837765077.

The spelling of 28591920 in words is "twenty-eight million, five hundred ninety-one thousand, nine hundred twenty".