82783152 has 120 divisors (see below), whose sum is σ = 247603200. Its totient is φ = 25743744.

The previous prime is 82783109. The next prime is 82783159. The reversal of 82783152 is 25138728.

82783152 = T₁₄₀₈ + T₁₄₀₉ + ... + T₁₄₈₆.

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 (82783159) 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, 215953 + ... + 216335.

It is an arithmetic number, because the mean of its divisors is an integer number (2063360).

Almost surely, 2^82783152 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 82783152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123801600).

82783152 is an abundant number, since it is smaller than the sum of its proper divisors (164820048).

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

82783152 is a wasteful number, since it uses less digits than its factorization.

82783152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

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

The square root of 82783152 is about 9098.5247155789. The cubic root of 82783152 is about 435.8268537859.

The spelling of 82783152 in words is "eighty-two million, seven hundred eighty-three thousand, one hundred fifty-two".