28580400 has 180 divisors, whose sum is σ = 105241032. Its totient is φ = 7157760.

The previous prime is 28580359. The next prime is 28580413. The reversal of 28580400 is 408582.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60967 + ... + 61433.

Almost surely, 2^28580400 is an apocalyptic number.

28580400 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 28580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52620516).

28580400 is an abundant number, since it is smaller than the sum of its proper divisors (76660632).

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

28580400 is a wasteful number, since it uses less digits than its factorization.

28580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28580400 is about 5346.0639726812. The cubic root of 28580400 is about 305.7427031052.

Adding to 28580400 its reverse (408582), we get a palindrome (28988982).

The spelling of 28580400 in words is "twenty-eight million, five hundred eighty thousand, four hundred".