82753128 has 24 divisors (see below), whose sum is σ = 224123250. Its totient is φ = 27584352.

The previous prime is 82753117. The next prime is 82753133. The reversal of 82753128 is 82135728.

It can be written as a sum of positive squares in only one way, i.e., 76003524 + 6749604 = 8718^2 + 2598^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 82753092 and 82753101.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 574603 + ... + 574746.

Almost surely, 2^82753128 is an apocalyptic number.

It is an amenable number.

82753128 is an abundant number, since it is smaller than the sum of its proper divisors (141370122).

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

82753128 is a wasteful number, since it uses less digits than its factorization.

82753128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149361 (or 1149354 counting only the distinct ones).

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

The square root of 82753128 is about 9096.8746281347. The cubic root of 82753128 is about 435.7741584915.

The spelling of 82753128 in words is "eighty-two million, seven hundred fifty-three thousand, one hundred twenty-eight".