97428735360 has 768 divisors, whose sum is σ = 401738097600. Its totient is φ = 22221619200.

The previous prime is 97428735337. The next prime is 97428735373. The reversal of 97428735360 is 6353782479.

97428735360 is a `hidden beast` number, since 9 + 7 + 4 + 287 + 353 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97428735297 and 97428735306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35543590 + ... + 35546330.

Almost surely, 2^97428735360 is an apocalyptic number.

97428735360 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 97428735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200869048800).

97428735360 is an abundant number, since it is smaller than the sum of its proper divisors (304309362240).

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

97428735360 is a wasteful number, since it uses less digits than its factorization.

97428735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 97428735360 in words is "ninety-seven billion, four hundred twenty-eight million, seven hundred thirty-five thousand, three hundred sixty".