28292400 has 180 divisors, whose sum is σ = 101942880. Its totient is φ = 7257600.

The previous prime is 28292389. The next prime is 28292401. The reversal of 28292400 is 429282.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (28292401) 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, 104265 + ... + 104535.

Almost surely, 2^28292400 is an apocalyptic number.

28292400 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 28292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50971440).

28292400 is an abundant number, since it is smaller than the sum of its proper divisors (73650480).

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

28292400 is a wasteful number, since it uses less digits than its factorization.

28292400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28292400 is about 5319.0600673427. The cubic root of 28292400 is about 304.7122611041.

The spelling of 28292400 in words is "twenty-eight million, two hundred ninety-two thousand, four hundred".