97084528128 has 320 divisors, whose sum is σ = 331848760320. Its totient is φ = 27449819136.

The previous prime is 97084528127. The next prime is 97084528129. The reversal of 97084528128 is 82182548079.

97084528128 is a `hidden beast` number, since 97 + 0 + 8 + 4 + 528 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (97084528127) and next prime (97084528129).

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 (97084528127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9381325 + ... + 9391667.

It is an arithmetic number, because the mean of its divisors is an integer number (1037027376).

Almost surely, 2^97084528128 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 97084528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165924380160).

97084528128 is an abundant number, since it is smaller than the sum of its proper divisors (234764232192).

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

97084528128 is a wasteful number, since it uses less digits than its factorization.

97084528128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10474 (or 10452 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 97084528128 in words is "ninety-seven billion, eighty-four million, five hundred twenty-eight thousand, one hundred twenty-eight".