9728377344 has 800 divisors, whose sum is σ = 36505092096. Its totient is φ = 2518179840.

The previous prime is 9728377331. The next prime is 9728377357. The reversal of 9728377344 is 4437738279.

It is an interprime number because it is at equal distance from previous prime (9728377331) and next prime (9728377357).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 206986729 + ... + 206986775.

Almost surely, 2^9728377344 is an apocalyptic number.

9728377344 is a gapful number since it is divisible by the number (94) 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 9728377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18252546048).

9728377344 is an abundant number, since it is smaller than the sum of its proper divisors (26776714752).

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

9728377344 is a wasteful number, since it uses less digits than its factorization.

9728377344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 9728377344 is about 98632.5369439517. The cubic root of 9728377344 is about 2134.7489201928.

The spelling of 9728377344 in words is "nine billion, seven hundred twenty-eight million, three hundred seventy-seven thousand, three hundred forty-four".