28970400 has 72 divisors (see below), whose sum is σ = 94306464. Its totient is φ = 7724800.

The previous prime is 28970393. The next prime is 28970401. The reversal of 28970400 is 407982.

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

It is not an unprimeable number, because it can be changed into a prime (28970401) 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, 3636 + ... + 8435.

It is an arithmetic number, because the mean of its divisors is an integer number (1309812).

Almost surely, 2^28970400 is an apocalyptic number.

28970400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28970400 is an abundant number, since it is smaller than the sum of its proper divisors (65336064).

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

28970400 is a wasteful number, since it uses less digits than its factorization.

28970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12094 (or 12081 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 28970400 is about 5382.4158144833. The cubic root of 28970400 is about 307.1271175843.

The spelling of 28970400 in words is "twenty-eight million, nine hundred seventy thousand, four hundred".