22828600 has 24 divisors (see below), whose sum is σ = 53076960. Its totient is φ = 9131360.

The previous prime is 22828591. The next prime is 22828609. The reversal of 22828600 is 682822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22828591) and next prime (22828609).

It is a super-2 number, since 2×22828600² = 1042289955920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22828609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56872 + ... + 57271.

It is an arithmetic number, because the mean of its divisors is an integer number (2211540).

Almost surely, 2^22828600 is an apocalyptic number.

22828600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22828600 is an abundant number, since it is smaller than the sum of its proper divisors (30248360).

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

22828600 is a wasteful number, since it uses less digits than its factorization.

22828600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114159 (or 114150 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 22828600 is about 4777.9284213977. The cubic root of 22828600 is about 283.6785028191.

The spelling of 22828600 in words is "twenty-two million, eight hundred twenty-eight thousand, six hundred".