28057200 has 120 divisors (see below), whose sum is σ = 91148928. Its totient is φ = 7376640.

The previous prime is 28057177. The next prime is 28057223. The reversal of 28057200 is 275082.

It is an interprime number because it is at equal distance from previous prime (28057177) and next prime (28057223).

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

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 23 ways as a sum of consecutive naturals, for example, 123487 + ... + 123713.

Almost surely, 2^28057200 is an apocalyptic number.

28057200 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 28057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45574464).

28057200 is an abundant number, since it is smaller than the sum of its proper divisors (63091728).

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

28057200 is a wasteful number, since it uses less digits than its factorization.

28057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 28057200 is about 5296.9047565536. The cubic root of 28057200 is about 303.8655337907.

The spelling of 28057200 in words is "twenty-eight million, fifty-seven thousand, two hundred".