8264628 has 36 divisors (see below), whose sum is σ = 21107268. Its totient is φ = 2726400.

The previous prime is 8264611. The next prime is 8264689.

8264628 is a `hidden beast` number, since 8 + 2 + 646 + 2 + 8 = 666.

8264628 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 580644 = 2772^2 + 762^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×8264628³ (a number of 22 digits) contains 333 as substring.

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 = 8264592 and 8264601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2500 + ... + 4772.

It is an arithmetic number, because the mean of its divisors is an integer number (586313).

Almost surely, 2^8264628 is an apocalyptic number.

It is an amenable number.

8264628 is an abundant number, since it is smaller than the sum of its proper divisors (12842640).

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

8264628 is a wasteful number, since it uses less digits than its factorization.

8264628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2379 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8264628 is about 2874.8266034667. The cubic root of 8264628 is about 202.1813552826.

The spelling of 8264628 in words is "eight million, two hundred sixty-four thousand, six hundred twenty-eight".