97009532928 has 640 divisors, whose sum is σ = 362387520000. Its totient is φ = 24914165760.

The previous prime is 97009532923. The next prime is 97009532941. The reversal of 97009532928 is 82923590079.

97009532928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (97009532923) 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, 1089994708 + ... + 1089994796.

It is an arithmetic number, because the mean of its divisors is an integer number (566230500).

Almost surely, 2^97009532928 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 97009532928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181193760000).

97009532928 is an abundant number, since it is smaller than the sum of its proper divisors (265377987072).

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

97009532928 is an frugal number, since it uses more digits than its factorization.

97009532928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 97009532928 in words is "ninety-seven billion, nine million, five hundred thirty-two thousand, nine hundred twenty-eight".