28810320 has 160 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 5982720.

The previous prime is 28810319. The next prime is 28810321. The reversal of 28810320 is 2301882.

28810320 = 645² + 646² + ... + 707².

It is an interprime number because it is at equal distance from previous prime (28810319) and next prime (28810321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28810321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17701 + ... + 19259.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^28810320 is an apocalyptic number.

28810320 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 28810320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

28810320 is an abundant number, since it is smaller than the sum of its proper divisors (82611120).

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

28810320 is a wasteful number, since it uses less digits than its factorization.

28810320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28810320 is about 5367.5245691100. The cubic root of 28810320 is about 306.5603811469.

The spelling of 28810320 in words is "twenty-eight million, eight hundred ten thousand, three hundred twenty".