64307628 has 288 divisors, whose sum is σ = 226419200. Its totient is φ = 15396480.

The previous prime is 64307623. The next prime is 64307629. The reversal of 64307628 is 82670346.

64307628 is a `hidden beast` number, since 643 + 0 + 7 + 6 + 2 + 8 = 666.

64307628 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 (36).

It is a nialpdrome in base 11.

It is a zygodrome in base 3 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 64307592 and 64307601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64307623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738026 + ... + 1738062.

Almost surely, 2^64307628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64307628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113209600).

64307628 is an abundant number, since it is smaller than the sum of its proper divisors (162111572).

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

64307628 is a wasteful number, since it uses less digits than its factorization.

64307628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 64307628 is about 8019.2037011165. The cubic root of 64307628 is about 400.6398675447.

The spelling of 64307628 in words is "sixty-four million, three hundred seven thousand, six hundred twenty-eight".