28870400 has 108 divisors (see below), whose sum is σ = 77177352. Its totient is φ = 10629120.

The previous prime is 28870379. The next prime is 28870409. The reversal of 28870400 is 407882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28870409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83027 + ... + 83373.

Almost surely, 2^28870400 is an apocalyptic number.

28870400 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 28870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38588676).

28870400 is an abundant number, since it is smaller than the sum of its proper divisors (48306952).

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

28870400 is a wasteful number, since it uses less digits than its factorization.

28870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 28870400 is about 5373.1182752662. The cubic root of 28870400 is about 306.7733298364.

The spelling of 28870400 in words is "twenty-eight million, eight hundred seventy thousand, four hundred".