97417728 has 180 divisors, whose sum is σ = 302020290. Its totient is φ = 31352832.

The previous prime is 97417721. The next prime is 97417729. The reversal of 97417728 is 82771479.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 15116544 = 9072^2 + 3888^2 .

It is not an unprimeable number, because it can be changed into a prime (97417721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3359218 + ... + 3359246.

Almost surely, 2^97417728 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 97417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151010145).

97417728 is an abundant number, since it is smaller than the sum of its proper divisors (204602562).

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

97417728 is an frugal number, since it uses more digits than its factorization.

97417728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 97417728 is about 9870.0419451996. The cubic root of 97417728 is about 460.1287100448.

The spelling of 97417728 in words is "ninety-seven million, four hundred seventeen thousand, seven hundred twenty-eight".