28028400 has 60 divisors (see below), whose sum is σ = 89788152. Its totient is φ = 7473920.

The previous prime is 28028387. The next prime is 28028411. The reversal of 28028400 is 482082.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10479 + ... + 12878.

Almost surely, 2^28028400 is an apocalyptic number.

28028400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28028400 is an abundant number, since it is smaller than the sum of its proper divisors (61759752).

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

28028400 is a wasteful number, since it uses less digits than its factorization.

28028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23378 (or 23367 counting only the distinct ones).

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

The square root of 28028400 is about 5294.1854897614. The cubic root of 28028400 is about 303.7615281235.

It can be divided in two parts, 280 and 28400, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 28028400 in words is "twenty-eight million, twenty-eight thousand, four hundred".