82300032 has 96 divisors (see below), whose sum is σ = 238680000. Its totient is φ = 27219456.

The previous prime is 82300021. The next prime is 82300051. The reversal of 82300032 is 23000328.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 82299978 and 82300014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229069 + ... + 229427.

It is an arithmetic number, because the mean of its divisors is an integer number (2486250).

Almost surely, 2^82300032 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 82300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340000).

82300032 is an abundant number, since it is smaller than the sum of its proper divisors (156379968).

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

82300032 is a wasteful number, since it uses less digits than its factorization.

82300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 82300032 is about 9071.9365077143. The cubic root of 82300032 is about 434.9773749628.

The spelling of 82300032 in words is "eighty-two million, three hundred thousand, thirty-two".