83128464 has 80 divisors (see below), whose sum is σ = 239736640. Its totient is φ = 27578880.

The previous prime is 83128447. The next prime is 83128489. The reversal of 83128464 is 46482138.

It is a super-3 number, since 3×83128464³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145299 + ... + 145869.

It is an arithmetic number, because the mean of its divisors is an integer number (2996708).

Almost surely, 2^83128464 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 83128464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119868320).

83128464 is an abundant number, since it is smaller than the sum of its proper divisors (156608176).

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

83128464 is a wasteful number, since it uses less digits than its factorization.

83128464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

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

The square root of 83128464 is about 9117.4812311296. The cubic root of 83128464 is about 436.4319989486.

The spelling of 83128464 in words is "eighty-three million, one hundred twenty-eight thousand, four hundred sixty-four".