82748952 has 320 divisors, whose sum is σ = 292723200. Its totient is φ = 21461760.

The previous prime is 82748929. The next prime is 82748957. The reversal of 82748952 is 25984728.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82748898 and 82748907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82748957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1760593 + ... + 1760639.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 2^82748952 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 82748952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

82748952 is an abundant number, since it is smaller than the sum of its proper divisors (209974248).

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

82748952 is a wasteful number, since it uses less digits than its factorization.

82748952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 82748952 is about 9096.6450958581. The cubic root of 82748952 is about 435.7668281603.

It can be divided in two parts, 827489 and 52, that added together give a triangular number (827541 = T₁₂₈₆).

The spelling of 82748952 in words is "eighty-two million, seven hundred forty-eight thousand, nine hundred fifty-two".