8728628428800 has 2052 divisors, whose sum is σ = 38386742250480. Its totient is φ = 1926317998080.

The previous prime is 8728628428763. The next prime is 8728628428811. The reversal of 8728628428800 is 88248268278.

8728628428800 is a `hidden beast` number, since 8 + 72 + 8 + 6 + 284 + 288 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 300987187186 + ... + 300987187214.

Almost surely, 2^{8728628428800} is an apocalyptic number.

8728628428800 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 8728628428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19193371125240).

8728628428800 is an abundant number, since it is smaller than the sum of its proper divisors (29658113821680).

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

8728628428800 is an frugal number, since it uses more digits than its factorization.

8728628428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 8728628428800 in words is "eight trillion, seven hundred twenty-eight billion, six hundred twenty-eight million, four hundred twenty-eight thousand, eight hundred".