82700128 has 24 divisors (see below), whose sum is σ = 186075792. Its totient is φ = 35442816.

The previous prime is 82700117. The next prime is 82700131. The reversal of 82700128 is 82100728.

It is a super-2 number, since 2×82700128² = 13678622342432768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 82700096 and 82700105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184375 + ... + 184822.

It is an arithmetic number, because the mean of its divisors is an integer number (7753158).

Almost surely, 2^82700128 is an apocalyptic number.

It is an amenable number.

82700128 is an abundant number, since it is smaller than the sum of its proper divisors (103375664).

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

82700128 is a wasteful number, since it uses less digits than its factorization.

82700128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369214 (or 369206 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 82700128 is about 9093.9610731518. The cubic root of 82700128 is about 435.6811067708.

It can be divided in two parts, 82700 and 128, that added together give a palindrome (82828).

The spelling of 82700128 in words is "eighty-two million, seven hundred thousand, one hundred twenty-eight".