83264328 has 96 divisors (see below), whose sum is σ = 269085600. Its totient is φ = 23786784.

The previous prime is 83264323. The next prime is 83264333. The reversal of 83264328 is 82346238.

83264328 is a `hidden beast` number, since 8 + 3 + 2 + 643 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (83264323) and next prime (83264333).

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 a junction number, because it is equal to n+sod(n) for n = 83264292 and 83264301.

It is not an unprimeable number, because it can be changed into a prime (83264323) 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, 6651 + ... + 14517.

It is an arithmetic number, because the mean of its divisors is an integer number (2802975).

Almost surely, 2^83264328 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 83264328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134542800).

83264328 is an abundant number, since it is smaller than the sum of its proper divisors (185821272).

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

83264328 is a wasteful number, since it uses less digits than its factorization.

83264328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7896 (or 7879 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 83264328 is about 9124.9289312301. The cubic root of 83264328 is about 436.6696356524.

The spelling of 83264328 in words is "eighty-three million, two hundred sixty-four thousand, three hundred twenty-eight".