97653828438 has 96 divisors (see below), whose sum is σ = 223915760640. Its totient is φ = 30709748160.

The previous prime is 97653828373. The next prime is 97653828443. The reversal of 97653828438 is 83482835679.

97653828438 is a `hidden beast` number, since 9 + 76 + 53 + 82 + 8 + 438 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13505008 + ... + 13512236.

It is an arithmetic number, because the mean of its divisors is an integer number (2332455840).

Almost surely, 2^97653828438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97653828438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111957880320).

97653828438 is an abundant number, since it is smaller than the sum of its proper divisors (126261932202).

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

97653828438 is a wasteful number, since it uses less digits than its factorization.

97653828438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7874 (or 7871 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 97653828438 in words is "ninety-seven billion, six hundred fifty-three million, eight hundred twenty-eight thousand, four hundred thirty-eight".