82303488 has 120 divisors (see below), whose sum is σ = 242733348. Its totient is φ = 26836992.

The previous prime is 82303471. The next prime is 82303517. The reversal of 82303488 is 88430328.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 2304 = 9072^2 + 48^2 .

It is a super-2 number, since 2×82303488² = 13547728273932288, which contains 22 as substring.

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

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, 244056 + ... + 244392.

Almost surely, 2^82303488 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 82303488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121366674).

82303488 is an abundant number, since it is smaller than the sum of its proper divisors (160429860).

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

82303488 is a wasteful number, since it uses less digits than its factorization.

82303488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

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

The square root of 82303488 is about 9072.1269832383. The cubic root of 82303488 is about 434.9834635014.

The spelling of 82303488 in words is "eighty-two million, three hundred three thousand, four hundred eighty-eight".