83795628 has 48 divisors (see below), whose sum is σ = 224743680. Its totient is φ = 23803584.

The previous prime is 83795611. The next prime is 83795633. The reversal of 83795628 is 82659738.

It is an unprimeable number.

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, 12250 + ... + 17822.

It is an arithmetic number, because the mean of its divisors is an integer number (4682160).

Almost surely, 2^83795628 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 83795628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112371840).

83795628 is an abundant number, since it is smaller than the sum of its proper divisors (140948052).

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

83795628 is a wasteful number, since it uses less digits than its factorization.

83795628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766 (or 5764 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 83795628 is about 9153.9951933568. The cubic root of 83795628 is about 437.5964465464.

The spelling of 83795628 in words is "eighty-three million, seven hundred ninety-five thousand, six hundred twenty-eight".