82651823928 has 160 divisors (see below), whose sum is σ = 236235463200. Its totient is φ = 26988878592.

The previous prime is 82651823921. The next prime is 82651823951. The reversal of 82651823928 is 82932815628.

It is a happy number.

82651823928 is a `hidden beast` number, since 82 + 6 + 518 + 23 + 9 + 28 = 666.

It is a super-2 number, since 2×82651823928² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82651823921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28469725 + ... + 28472627.

It is an arithmetic number, because the mean of its divisors is an integer number (1476471645).

Almost surely, 2^82651823928 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 82651823928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117731600).

82651823928 is an abundant number, since it is smaller than the sum of its proper divisors (153583639272).

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

82651823928 is a wasteful number, since it uses less digits than its factorization.

82651823928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3790 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 82651823928 in words is "eighty-two billion, six hundred fifty-one million, eight hundred twenty-three thousand, nine hundred twenty-eight".