82635623928 has 768 divisors, whose sum is σ = 289302773760. Its totient is φ = 21751027200.

The previous prime is 82635623881. The next prime is 82635623951. The reversal of 82635623928 is 82932653628.

82635623928 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 5 + 623 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×82635623928² (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 an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 370563225 + ... + 370563447.

It is an arithmetic number, because the mean of its divisors is an integer number (376696320).

Almost surely, 2^82635623928 is an apocalyptic number.

82635623928 is a gapful number since it is divisible by the number (88) 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 82635623928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144651386880).

82635623928 is an abundant number, since it is smaller than the sum of its proper divisors (206667149832).

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

82635623928 is a wasteful number, since it uses less digits than its factorization.

82635623928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 82635623928 in words is "eighty-two billion, six hundred thirty-five million, six hundred twenty-three thousand, nine hundred twenty-eight".