28886400 has 288 divisors, whose sum is σ = 110986200. Its totient is φ = 7127040.

The previous prime is 28886393. The next prime is 28886401. The reversal of 28886400 is 468882.

28886400 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28886401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489571 + ... + 489629.

Almost surely, 2^28886400 is an apocalyptic number.

28886400 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 28886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55493100).

28886400 is an abundant number, since it is smaller than the sum of its proper divisors (82099800).

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

28886400 is a wasteful number, since it uses less digits than its factorization.

28886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 28886400 is about 5374.6069623741. The cubic root of 28886400 is about 306.8299907165.

The spelling of 28886400 in words is "twenty-eight million, eight hundred eighty-six thousand, four hundred".