28626800 has 60 divisors (see below), whose sum is σ = 69999240. Its totient is φ = 11247360.

The previous prime is 28626797. The next prime is 28626803. The reversal of 28626800 is 862682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28626797) and next prime (28626803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28626803) 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, 22994 + ... + 24206.

It is an arithmetic number, because the mean of its divisors is an integer number (1166654).

Almost surely, 2^28626800 is an apocalyptic number.

28626800 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 28626800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34999620).

28626800 is an abundant number, since it is smaller than the sum of its proper divisors (41372440).

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

28626800 is a wasteful number, since it uses less digits than its factorization.

28626800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 28626800 is about 5350.4018540667. The cubic root of 28626800 is about 305.9080704099.

The spelling of 28626800 in words is "twenty-eight million, six hundred twenty-six thousand, eight hundred".