83251728 has 60 divisors (see below), whose sum is σ = 266276608. Its totient is φ = 23785920.

The previous prime is 83251699. The next prime is 83251747. The reversal of 83251728 is 82715238.

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 = 83251692 and 83251701.

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 11 ways as a sum of consecutive naturals, for example, 40288 + ... + 42303.

Almost surely, 2^83251728 is an apocalyptic number.

It is an amenable number.

83251728 is an abundant number, since it is smaller than the sum of its proper divisors (183024880).

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

83251728 is a wasteful number, since it uses less digits than its factorization.

83251728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82612 (or 82603 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 83251728 is about 9124.2384887726. The cubic root of 83251728 is about 436.6476081524.

The spelling of 83251728 in words is "eighty-three million, two hundred fifty-one thousand, seven hundred twenty-eight".