28474800 has 120 divisors (see below), whose sum is σ = 92947920. Its totient is φ = 7449600.

The previous prime is 28474777. The next prime is 28474807. The reversal of 28474800 is 847482.

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

It is not an unprimeable number, because it can be changed into a prime (28474807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73006 + ... + 73394.

It is an arithmetic number, because the mean of its divisors is an integer number (774566).

Almost surely, 2^28474800 is an apocalyptic number.

28474800 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 28474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46473960).

28474800 is an abundant number, since it is smaller than the sum of its proper divisors (64473120).

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

28474800 is a wasteful number, since it uses less digits than its factorization.

28474800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 28474800 is about 5336.1784078121. The cubic root of 28474800 is about 305.3656816072.

The spelling of 28474800 in words is "twenty-eight million, four hundred seventy-four thousand, eight hundred".