28155600 has 300 divisors, whose sum is σ = 111629760. Its totient is φ = 6739200.

The previous prime is 28155599. The next prime is 28155601. The reversal of 28155600 is 655182.

28155600 is a `hidden beast` number, since 2 + 8 + 1 + 55 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (28155599) and next prime (28155601).

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×28155600² = 1585475622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28155601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 356361 + ... + 356439.

Almost surely, 2^28155600 is an apocalyptic number.

28155600 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 28155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55814880).

28155600 is an abundant number, since it is smaller than the sum of its proper divisors (83474160).

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

28155600 is a wasteful number, since it uses less digits than its factorization.

28155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 28155600 is about 5306.1850702741. The cubic root of 28155600 is about 304.2203504003.

The spelling of 28155600 in words is "twenty-eight million, one hundred fifty-five thousand, six hundred".