97420128 has 96 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 29760000.

The previous prime is 97420121. The next prime is 97420129. The reversal of 97420128 is 82102479.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97420121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313093 + ... + 313403.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^97420128 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 97420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

97420128 is an abundant number, since it is smaller than the sum of its proper divisors (179965344).

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

97420128 is a wasteful number, since it uses less digits than its factorization.

97420128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 97420128 is about 9870.1635244812. The cubic root of 97420128 is about 460.1324886172.

The spelling of 97420128 in words is "ninety-seven million, four hundred twenty thousand, one hundred twenty-eight".