28953600 has 264 divisors, whose sum is σ = 106607760. Its totient is φ = 6881280.

The previous prime is 28953599. The next prime is 28953641. The reversal of 28953600 is 635982.

It is a happy number.

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, 998386 + ... + 998414.

Almost surely, 2^28953600 is an apocalyptic number.

28953600 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 28953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53303880).

28953600 is an abundant number, since it is smaller than the sum of its proper divisors (77654160).

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

28953600 is a wasteful number, since it uses less digits than its factorization.

28953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 28953600 is about 5380.8549506561. The cubic root of 28953600 is about 307.0677382031.

The spelling of 28953600 in words is "twenty-eight million, nine hundred fifty-three thousand, six hundred".