28458400 has 36 divisors (see below), whose sum is σ = 69476022. Its totient is φ = 11383040.

The previous prime is 28458379. The next prime is 28458401. The reversal of 28458400 is 485482.

It can be written as a sum of positive squares in 3 ways, for example, as 16096144 + 12362256 = 4012^2 + 3516^2 .

It is not an unprimeable number, because it can be changed into a prime (28458401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16987 + ... + 18586.

Almost surely, 2^28458400 is an apocalyptic number.

28458400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28458400 is an abundant number, since it is smaller than the sum of its proper divisors (41017622).

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

28458400 is a wasteful number, since it uses less digits than its factorization.

28458400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35593 (or 35580 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 28458400 is about 5334.6415062308. The cubic root of 28458400 is about 305.3070454454.

The spelling of 28458400 in words is "twenty-eight million, four hundred fifty-eight thousand, four hundred".