82633488 has 80 divisors (see below), whose sum is σ = 245031936. Its totient is φ = 23506560.

The previous prime is 82633483. The next prime is 82633493. The reversal of 82633488 is 88433628.

It is an interprime number because it is at equal distance from previous prime (82633483) and next prime (82633493).

It is a super-2 number, since 2×82633488² = 13656586678092288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (82633483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110845 + ... + 111587.

Almost surely, 2^82633488 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 82633488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122515968).

82633488 is an abundant number, since it is smaller than the sum of its proper divisors (162398448).

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

82633488 is a wasteful number, since it uses less digits than its factorization.

82633488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 82633488 is about 9090.2963648057. The cubic root of 82633488 is about 435.5640509627.

The spelling of 82633488 in words is "eighty-two million, six hundred thirty-three thousand, four hundred eighty-eight".