22746528 has 96 divisors (see below), whose sum is σ = 75841920. Its totient is φ = 6497280.

The previous prime is 22746497. The next prime is 22746533. The reversal of 22746528 is 82564722.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22746492 and 22746501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4168 + ... + 7928.

It is an arithmetic number, because the mean of its divisors is an integer number (790020).

Almost surely, 2^22746528 is an apocalyptic number.

22746528 is a gapful number since it is divisible by the number (28) 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 22746528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37920960).

22746528 is an abundant number, since it is smaller than the sum of its proper divisors (53095392).

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

22746528 is a wasteful number, since it uses less digits than its factorization.

22746528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3773 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 22746528 is about 4769.3320287017. The cubic root of 22746528 is about 283.3381400184.

The spelling of 22746528 in words is "twenty-two million, seven hundred forty-six thousand, five hundred twenty-eight".