97428240 has 240 divisors, whose sum is σ = 402974208. Its totient is φ = 20542464.

The previous prime is 97428229. The next prime is 97428263. The reversal of 97428240 is 4282479.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97428195 and 97428204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64777 + ... + 66263.

Almost surely, 2^97428240 is an apocalyptic number.

97428240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201487104).

97428240 is an abundant number, since it is smaller than the sum of its proper divisors (305545968).

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

97428240 is a wasteful number, since it uses less digits than its factorization.

97428240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 97428240 is about 9870.5744513681. The cubic root of 97428240 is about 460.1452597328.

The spelling of 97428240 in words is "ninety-seven million, four hundred twenty-eight thousand, two hundred forty".