28700900 has 36 divisors (see below), whose sum is σ = 63972468. Its totient is φ = 11168640.

The previous prime is 28700869. The next prime is 28700911. The reversal of 28700900 is 900782.

28700900 = T₂₈₄ + T₂₈₅ + ... + T₅₇₉.

It can be written as a sum of positive squares in 6 ways, for example, as 1909924 + 26790976 = 1382^2 + 5176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28700900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179 + ... + 7578.

It is an arithmetic number, because the mean of its divisors is an integer number (1777013).

Almost surely, 2^28700900 is an apocalyptic number.

28700900 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 28700900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31986234).

28700900 is an abundant number, since it is smaller than the sum of its proper divisors (35271568).

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

28700900 is a wasteful number, since it uses less digits than its factorization.

28700900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 28700900 is about 5357.3220922397. The cubic root of 28700900 is about 306.1717889964.

The spelling of 28700900 in words is "twenty-eight million, seven hundred thousand, nine hundred".