28906600 has 48 divisors (see below), whose sum is σ = 70754400. Its totient is φ = 10952640.

The previous prime is 28906567. The next prime is 28906627. The reversal of 28906600 is 660982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4 + ... + 7603.

It is an arithmetic number, because the mean of its divisors is an integer number (1474050).

Almost surely, 2^28906600 is an apocalyptic number.

28906600 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 28906600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35377200).

28906600 is an abundant number, since it is smaller than the sum of its proper divisors (41847800).

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

28906600 is a wasteful number, since it uses less digits than its factorization.

28906600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 28906600 is about 5376.4858411420. The cubic root of 28906600 is about 306.9014952035.

The spelling of 28906600 in words is "twenty-eight million, nine hundred six thousand, six hundred".