83828564 has 48 divisors (see below), whose sum is σ = 160030080. Its totient is φ = 38277120.

The previous prime is 83828539. The next prime is 83828567. The reversal of 83828564 is 46582838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83828567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468227 + ... + 468405.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2^83828564 is an apocalyptic number.

It is an amenable number.

83828564 is a deficient number, since it is larger than the sum of its proper divisors (76201516).

83828564 is a wasteful number, since it uses less digits than its factorization.

83828564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 83828564 is about 9155.7940125365. The cubic root of 83828564 is about 437.6537716878.

The spelling of 83828564 in words is "eighty-three million, eight hundred twenty-eight thousand, five hundred sixty-four".