82953035928 has 384 divisors, whose sum is σ = 282831628800. Its totient is φ = 22049812224.

The previous prime is 82953035927. The next prime is 82953035941.

82953035928 is a `hidden beast` number, since 82 + 9 + 530 + 3 + 5 + 9 + 28 = 666.

82953035928 is nontrivially palindromic in base 10.

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 (82953035923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29592975 + ... + 29595777.

It is an arithmetic number, because the mean of its divisors is an integer number (736540700).

Almost surely, 2^82953035928 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 82953035928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141415814400).

82953035928 is an abundant number, since it is smaller than the sum of its proper divisors (199878592872).

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

82953035928 is a wasteful number, since it uses less digits than its factorization.

82953035928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 82953035928 in words is "eighty-two billion, nine hundred fifty-three million, thirty-five thousand, nine hundred twenty-eight".