82299888 has 200 divisors, whose sum is σ = 272232576. Its totient is φ = 23760000.

The previous prime is 82299859. The next prime is 82299901. The reversal of 82299888 is 88899228.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327763 + ... + 328013.

Almost surely, 2^82299888 is an apocalyptic number.

82299888 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82299888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288).

82299888 is an abundant number, since it is smaller than the sum of its proper divisors (189932688).

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

82299888 is a wasteful number, since it uses less digits than its factorization.

82299888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 82299888 is about 9071.9285711474. The cubic root of 82299888 is about 434.9771212700.

The spelling of 82299888 in words is "eighty-two million, two hundred ninety-nine thousand, eight hundred eighty-eight".