22735728 has 100 divisors (see below), whose sum is σ = 67247928. Its totient is φ = 7413120.

The previous prime is 22735711. The next prime is 22735747. The reversal of 22735728 is 82753722.

It is a happy number.

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 = 22735692 and 22735701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68523 + ... + 68853.

Almost surely, 2^22735728 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 22735728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33623964).

22735728 is an abundant number, since it is smaller than the sum of its proper divisors (44512200).

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

22735728 is a wasteful number, since it uses less digits than its factorization.

22735728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 22735728 is about 4768.1996602491. The cubic root of 22735728 is about 283.2932901503.

It can be divided in two parts, 2273 and 5728, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 22735728 in words is "twenty-two million, seven hundred thirty-five thousand, seven hundred twenty-eight".