82798352 has 160 divisors (see below), whose sum is σ = 215819520. Its totient is φ = 29859840.

The previous prime is 82798343. The next prime is 82798357. The reversal of 82798352 is 25389728.

82798352 = T₁₃ + T₁₄ + ... + T₇₉₁.

It is a super-3 number, since 3×82798352³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82798357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134188 + ... + 1134260.

It is an arithmetic number, because the mean of its divisors is an integer number (1348872).

Almost surely, 2^82798352 is an apocalyptic number.

82798352 is a gapful number since it is divisible by the number (82) 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 82798352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107909760).

82798352 is an abundant number, since it is smaller than the sum of its proper divisors (133021168).

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

82798352 is a wasteful number, since it uses less digits than its factorization.

82798352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 82798352 is about 9099.3599774929. The cubic root of 82798352 is about 435.8535265352.

The spelling of 82798352 in words is "eighty-two million, seven hundred ninety-eight thousand, three hundred fifty-two".