9928540440 has 768 divisors, whose sum is σ = 43217280000. Its totient is φ = 1979707392.

The previous prime is 9928540429. The next prime is 9928540451. The reversal of 9928540440 is 440458299.

9928540440 is a `hidden beast` number, since 9 + 92 + 85 + 40 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (9928540429) and next prime (9928540451).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24274956 + ... + 24275364.

It is an arithmetic number, because the mean of its divisors is an integer number (56272500).

Almost surely, 2^9928540440 is an apocalyptic number.

9928540440 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 9928540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21608640000).

9928540440 is an abundant number, since it is smaller than the sum of its proper divisors (33288739560).

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

9928540440 is a wasteful number, since it uses less digits than its factorization.

9928540440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9928540440 is about 99642.0616005109. The cubic root of 9928540440 is about 2149.2905854893.

The spelling of 9928540440 in words is "nine billion, nine hundred twenty-eight million, five hundred forty thousand, four hundred forty".