82529280 has 220 divisors, whose sum is σ = 297224400. Its totient is φ = 21897216.

The previous prime is 82529261. The next prime is 82529281. The reversal of 82529280 is 8292528.

It is a super-2 number, since 2×82529280² = 13622164114636800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82529281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414621 + ... + 414819.

It is an arithmetic number, because the mean of its divisors is an integer number (1351020).

Almost surely, 2^82529280 is an apocalyptic number.

82529280 is a gapful number since it is divisible by the number (80) 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 82529280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148612200).

82529280 is an abundant number, since it is smaller than the sum of its proper divisors (214695120).

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

82529280 is a wasteful number, since it uses less digits than its factorization.

82529280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82529280 is about 9084.5627302584. The cubic root of 82529280 is about 435.3808792526.

The spelling of 82529280 in words is "eighty-two million, five hundred twenty-nine thousand, two hundred eighty".