22828032 has 66 divisors (see below), whose sum is σ = 65942058. Its totient is φ = 7606272.

The previous prime is 22828031. The next prime is 22828033. The reversal of 22828032 is 23082822.

It is an interprime number because it is at equal distance from previous prime (22828031) and next prime (22828033).

It can be written as a sum of positive squares in only one way, i.e., 19501056 + 3326976 = 4416^2 + 1824^2 .

It is a super-2 number, since 2×22828032² = 1042238089986048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22827987 and 22828005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22828031) 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, 7978 + ... + 10454.

Almost surely, 2^22828032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32971029).

22828032 is an abundant number, since it is smaller than the sum of its proper divisors (43114026).

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

22828032 is a wasteful number, since it uses less digits than its factorization.

22828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22828032 is about 4777.8689810417. The cubic root of 22828032 is about 283.6761500580.

The spelling of 22828032 in words is "twenty-two million, eight hundred twenty-eight thousand, thirty-two".