28390800 has 120 divisors (see below), whose sum is σ = 92717280. Its totient is φ = 7424000.

The previous prime is 28390787. The next prime is 28390811. The reversal of 28390800 is 809382.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 70600 + ... + 71000.

It is an arithmetic number, because the mean of its divisors is an integer number (772644).

Almost surely, 2^28390800 is an apocalyptic number.

28390800 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 28390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46358640).

28390800 is an abundant number, since it is smaller than the sum of its proper divisors (64326480).

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

28390800 is a wasteful number, since it uses less digits than its factorization.

28390800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 28390800 is about 5328.3017932546. The cubic root of 28390800 is about 305.0651119610.

The spelling of 28390800 in words is "twenty-eight million, three hundred ninety thousand, eight hundred".