28332400 has 60 divisors (see below), whose sum is σ = 68607712. Its totient is φ = 11243520.

The previous prime is 28332379. The next prime is 28332407. The reversal of 28332400 is 423382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28332407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77017 + ... + 77383.

Almost surely, 2^28332400 is an apocalyptic number.

28332400 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 28332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34303856).

28332400 is an abundant number, since it is smaller than the sum of its proper divisors (40275312).

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

28332400 is a wasteful number, since it uses less digits than its factorization.

28332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 28332400 is about 5322.8188021010. The cubic root of 28332400 is about 304.8557949493.

Adding to 28332400 its reverse (423382), we get a palindrome (28755782).

The spelling of 28332400 in words is "twenty-eight million, three hundred thirty-two thousand, four hundred".