82351728 has 120 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 26910144.

The previous prime is 82351727. The next prime is 82351729. The reversal of 82351728 is 82715328.

It is an interprime number because it is at equal distance from previous prime (82351727) and next prime (82351729).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 82351692 and 82351701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82351727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229213 + ... + 229571.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^82351728 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 82351728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

82351728 is an abundant number, since it is smaller than the sum of its proper divisors (161382672).

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

82351728 is a wasteful number, since it uses less digits than its factorization.

82351728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82351728 is about 9074.7852867162. The cubic root of 82351728 is about 435.0684315648.

The spelling of 82351728 in words is "eighty-two million, three hundred fifty-one thousand, seven hundred twenty-eight".