10622628 has 18 divisors (see below), whose sum is σ = 26851734. Its totient is φ = 3540864.

The previous prime is 10622627. The next prime is 10622629. The reversal of 10622628 is 82622601.

10622628 is a `hidden beast` number, since 10 + 6 + 22 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (10622627) and next prime (10622629).

It can be written as a sum of positive squares in only one way, i.e., 6749604 + 3873024 = 2598^2 + 1968^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10622628² = 225680451252768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10622627) 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, 147501 + ... + 147572.

It is an arithmetic number, because the mean of its divisors is an integer number (1491763).

Almost surely, 2^10622628 is an apocalyptic number.

10622628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10622628 is an abundant number, since it is smaller than the sum of its proper divisors (16229106).

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

10622628 is a wasteful number, since it uses less digits than its factorization.

10622628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295083 (or 295078 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10622628 is about 3259.2373341013. The cubic root of 10622628 is about 219.8251227355.

Subtracting from 10622628 its sum of digits (27), we obtain a palindrome (10622601).

The spelling of 10622628 in words is "ten million, six hundred twenty-two thousand, six hundred twenty-eight".