22628760 has 256 divisors, whose sum is σ = 88473600. Its totient is φ = 4492800.

The previous prime is 22628741. The next prime is 22628773. The reversal of 22628760 is 6782622.

22628760 = T₄₆₁ + T₄₆₂ + ... + T₆₁₅.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 286401 + ... + 286479.

It is an arithmetic number, because the mean of its divisors is an integer number (345600).

Almost surely, 2^22628760 is an apocalyptic number.

22628760 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 22628760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44236800).

22628760 is an abundant number, since it is smaller than the sum of its proper divisors (65844840).

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

22628760 is a wasteful number, since it uses less digits than its factorization.

22628760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 22628760 is about 4756.9696236154. The cubic root of 22628760 is about 282.8483082057.

The spelling of 22628760 in words is "twenty-two million, six hundred twenty-eight thousand, seven hundred sixty".