9797828040 has 1536 divisors, whose sum is σ = 47551795200. Its totient is φ = 1746800640.

The previous prime is 9797828017. The next prime is 9797828063. The reversal of 9797828040 is 408287979.

It is an interprime number because it is at equal distance from previous prime (9797828017) and next prime (9797828063).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 184864654 + ... + 184864706.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 2^9797828040 is an apocalyptic number.

9797828040 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 9797828040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775897600).

9797828040 is an abundant number, since it is smaller than the sum of its proper divisors (37753967160).

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

9797828040 is a wasteful number, since it uses less digits than its factorization.

9797828040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 9797828040 is about 98983.9787036266. The cubic root of 9797828040 is about 2139.8168562516.

The spelling of 9797828040 in words is "nine billion, seven hundred ninety-seven million, eight hundred twenty-eight thousand, forty".