8728881494400 has 1536 divisors, whose sum is σ = 34459223040000. Its totient is φ = 2152894464000.

The previous prime is 8728881494381. The next prime is 8728881494419. The reversal of 8728881494400 is 44941888278.

8728881494400 is a `hidden beast` number, since 8 + 7 + 2 + 8 + 88 + 149 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (8728881494381) and next prime (8728881494419).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 8466421885 + ... + 8466422915.

It is an arithmetic number, because the mean of its divisors is an integer number (22434390000).

Almost surely, 2^{8728881494400} is an apocalyptic number.

8728881494400 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 8728881494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17229611520000).

8728881494400 is an abundant number, since it is smaller than the sum of its proper divisors (25730341545600).

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

8728881494400 is a wasteful number, since it uses less digits than its factorization.

8728881494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 8728881494400 in words is "eight trillion, seven hundred twenty-eight billion, eight hundred eighty-one million, four hundred ninety-four thousand, four hundred".