28670400 has 252 divisors, whose sum is σ = 111779304. Its totient is φ = 6912000.

The previous prime is 28670399. The next prime is 28670413. The reversal of 28670400 is 407682.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158310 + ... + 158490.

Almost surely, 2^28670400 is an apocalyptic number.

28670400 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 28670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55889652).

28670400 is an abundant number, since it is smaller than the sum of its proper divisors (83108904).

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

28670400 is a wasteful number, since it uses less digits than its factorization.

28670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28670400 is about 5354.4747641575. The cubic root of 28670400 is about 306.0632958901.

The spelling of 28670400 in words is "twenty-eight million, six hundred seventy thousand, four hundred".