826868628 has 48 divisors (see below), whose sum is σ = 2145749760. Its totient is φ = 275363712.

The previous prime is 826868617. The next prime is 826868639.

826868628 is a `hidden beast` number, since 8 + 2 + 6 + 8 + 6 + 8 + 628 = 666.

826868628 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (826868617) and next prime (826868639).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 137125 + ... + 143027.

It is an arithmetic number, because the mean of its divisors is an integer number (44703120).

Almost surely, 2^826868628 is an apocalyptic number.

It is an amenable number.

826868628 is an abundant number, since it is smaller than the sum of its proper divisors (1318881132).

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

826868628 is a wasteful number, since it uses less digits than its factorization.

826868628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7213 (or 7205 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 826868628 is about 28755.3234723590. The cubic root of 826868628 is about 938.5963008597.

The spelling of 826868628 in words is "eight hundred twenty-six million, eight hundred sixty-eight thousand, six hundred twenty-eight".