83276928 has 192 divisors, whose sum is σ = 286416000. Its totient is φ = 22708224.

The previous prime is 83276927. The next prime is 83276929. The reversal of 83276928 is 82967238.

It is an interprime number because it is at equal distance from previous prime (83276927) and next prime (83276929).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83276927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185248 + ... + 185696.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^83276928 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 83276928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

83276928 is an abundant number, since it is smaller than the sum of its proper divisors (203139072).

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

83276928 is a wasteful number, since it uses less digits than its factorization.

83276928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 484 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 83276928 is about 9125.6193214488. The cubic root of 83276928 is about 436.6916609304.

The spelling of 83276928 in words is "eighty-three million, two hundred seventy-six thousand, nine hundred twenty-eight".