97028569440 has 384 divisors, whose sum is σ = 372266979840. Its totient is φ = 23408179200.

The previous prime is 97028569427. The next prime is 97028569481. The reversal of 97028569440 is 4496582079.

97028569440 is a `hidden beast` number, since 9 + 70 + 2 + 8 + 569 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10021882 + ... + 10031558.

It is an arithmetic number, because the mean of its divisors is an integer number (969445260).

Almost surely, 2^97028569440 is an apocalyptic number.

97028569440 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 97028569440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186133489920).

97028569440 is an abundant number, since it is smaller than the sum of its proper divisors (275238410400).

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

97028569440 is a wasteful number, since it uses less digits than its factorization.

97028569440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9923 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 97028569440 in words is "ninety-seven billion, twenty-eight million, five hundred sixty-nine thousand, four hundred forty".