22828080 has 80 divisors (see below), whose sum is σ = 77209344. Its totient is φ = 5533440.

The previous prime is 22828079. The next prime is 22828081. The reversal of 22828080 is 8082822.

It is an interprime number because it is at equal distance from previous prime (22828079) and next prime (22828081).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22828080² = 1042242472972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22828081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1684 + ... + 6963.

Almost surely, 2^22828080 is an apocalyptic number.

22828080 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 22828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38604672).

22828080 is an abundant number, since it is smaller than the sum of its proper divisors (54381264).

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

22828080 is a wasteful number, since it uses less digits than its factorization.

22828080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8674 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 22828080 is about 4777.8740041989. The cubic root of 22828080 is about 283.6763488844.

The spelling of 22828080 in words is "twenty-two million, eight hundred twenty-eight thousand, eighty".