28831200 has 144 divisors (see below), whose sum is σ = 96462576. Its totient is φ = 7475200.

The previous prime is 28831193. The next prime is 28831207. The reversal of 28831200 is 213882.

It is an interprime number because it is at equal distance from previous prime (28831193) and next prime (28831207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28831207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98254 + ... + 98546.

It is an arithmetic number, because the mean of its divisors is an integer number (669879).

Almost surely, 2^28831200 is an apocalyptic number.

28831200 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 28831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48231288).

28831200 is an abundant number, since it is smaller than the sum of its proper divisors (67631376).

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

28831200 is a wasteful number, since it uses less digits than its factorization.

28831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28831200 is about 5369.4692475141. The cubic root of 28831200 is about 306.6344221506.

It can be divided in two parts, 2883 and 1200, that multiplied together give a square (3459600 = 1860²).

The spelling of 28831200 in words is "twenty-eight million, eight hundred thirty-one thousand, two hundred".