8728838640 has 400 divisors, whose sum is σ = 32955985920. Its totient is φ = 2133112320.

The previous prime is 8728838561. The next prime is 8728838641. The reversal of 8728838640 is 468388278.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8728838641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3815577 + ... + 3817863.

Almost surely, 2^8728838640 is an apocalyptic number.

8728838640 is a gapful number since it is divisible by the number (80) 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 8728838640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477992960).

8728838640 is an abundant number, since it is smaller than the sum of its proper divisors (24227147280).

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

8728838640 is a wasteful number, since it uses less digits than its factorization.

8728838640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 8728838640 is about 93428.2539706271. The cubic root of 8728838640 is about 2058.9801279575.

The spelling of 8728838640 in words is "eight billion, seven hundred twenty-eight million, eight hundred thirty-eight thousand, six hundred forty".