97741728 has 120 divisors (see below), whose sum is σ = 328581792. Its totient is φ = 27921024.

The previous prime is 97741727. The next prime is 97741751. The reversal of 97741728 is 82714779.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97741727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15451 + ... + 20837.

Almost surely, 2^97741728 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 97741728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164290896).

97741728 is an abundant number, since it is smaller than the sum of its proper divisors (230840064).

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

97741728 is a wasteful number, since it uses less digits than its factorization.

97741728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 5399 counting only the distinct ones).

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

The square root of 97741728 is about 9886.4416247708. The cubic root of 97741728 is about 460.6382570362.

The spelling of 97741728 in words is "ninety-seven million, seven hundred forty-one thousand, seven hundred twenty-eight".