28934400 has 216 divisors, whose sum is σ = 104930784. Its totient is φ = 6963200.

The previous prime is 28934393. The next prime is 28934413. The reversal of 28934400 is 443982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 211132 + ... + 211268.

Almost surely, 2^28934400 is an apocalyptic number.

28934400 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 28934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52465392).

28934400 is an abundant number, since it is smaller than the sum of its proper divisors (75996384).

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

28934400 is a wasteful number, since it uses less digits than its factorization.

28934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 28934400 is about 5379.0705516846. The cubic root of 28934400 is about 306.9998479205. Note that the first 3 decimals are identical.

The spelling of 28934400 in words is "twenty-eight million, nine hundred thirty-four thousand, four hundred".