28690800 has 60 divisors (see below), whose sum is σ = 91910040. Its totient is φ = 7650560.

The previous prime is 28690789. The next prime is 28690811. The reversal of 28690800 is 809682.

It is an interprime number because it is at equal distance from previous prime (28690789) and next prime (28690811).

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10755 + ... + 13154.

It is an arithmetic number, because the mean of its divisors is an integer number (1531834).

Almost surely, 2^28690800 is an apocalyptic number.

28690800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28690800 is an abundant number, since it is smaller than the sum of its proper divisors (63219240).

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

28690800 is a wasteful number, since it uses less digits than its factorization.

28690800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23930 (or 23919 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 28690800 is about 5356.3793741668. The cubic root of 28690800 is about 306.1358702868.

The spelling of 28690800 in words is "twenty-eight million, six hundred ninety thousand, eight hundred".