826787628 has 48 divisors (see below), whose sum is σ = 2145612000. Its totient is φ = 275327424.

The previous prime is 826787627. The next prime is 826787677.

826787628 is a `hidden beast` number, since 8 + 2 + 6 + 7 + 8 + 7 + 628 = 666.

826787628 is nontrivially palindromic in base 10.

826787628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (826787627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129618 + ... + 135846.

It is an arithmetic number, because the mean of its divisors is an integer number (44700250).

Almost surely, 2^826787628 is an apocalyptic number.

It is an amenable number.

826787628 is an abundant number, since it is smaller than the sum of its proper divisors (1318824372).

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

826787628 is a wasteful number, since it uses less digits than its factorization.

826787628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7471 (or 7463 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 826787628 is about 28753.9150030044. The cubic root of 826787628 is about 938.5656515802.

The spelling of 826787628 in words is "eight hundred twenty-six million, seven hundred eighty-seven thousand, six hundred twenty-eight".