28633400 has 48 divisors (see below), whose sum is σ = 67692840. Its totient is φ = 11260800.

The previous prime is 28633391. The next prime is 28633417. The reversal of 28633400 is 433682.

It is a self number, because there is not a number n which added to its sum of digits gives 28633400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11027 + ... + 13373.

Almost surely, 2^28633400 is an apocalyptic number.

28633400 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 28633400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33846420).

28633400 is an abundant number, since it is smaller than the sum of its proper divisors (39059440).

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

28633400 is a wasteful number, since it uses less digits than its factorization.

28633400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 28633400 is about 5351.0185946229. The cubic root of 28633400 is about 305.9315779637.

The spelling of 28633400 in words is "twenty-eight million, six hundred thirty-three thousand, four hundred".