28402800 has 60 divisors (see below), whose sum is σ = 90987480. Its totient is φ = 7573760.

The previous prime is 28402793. The next prime is 28402807. The reversal of 28402800 is 820482.

It is an interprime number because it is at equal distance from previous prime (28402793) and next prime (28402807).

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

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 (28402807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10635 + ... + 13034.

It is an arithmetic number, because the mean of its divisors is an integer number (1516458).

Almost surely, 2^28402800 is an apocalyptic number.

28402800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28402800 is an abundant number, since it is smaller than the sum of its proper divisors (62584680).

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

28402800 is a wasteful number, since it uses less digits than its factorization.

28402800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23690 (or 23679 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 28402800 is about 5329.4277366336. The cubic root of 28402800 is about 305.1080867474.

The spelling of 28402800 in words is "twenty-eight million, four hundred two thousand, eight hundred".