8420428800 has 792 divisors, whose sum is σ = 36112617216. Its totient is φ = 1832878080.

The previous prime is 8420428799. The next prime is 8420428801. The reversal of 8420428800 is 88240248.

It is an interprime number because it is at equal distance from previous prime (8420428799) and next prime (8420428801).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8420428801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37094287 + ... + 37094513.

Almost surely, 2^8420428800 is an apocalyptic number.

8420428800 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 8420428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18056308608).

8420428800 is an abundant number, since it is smaller than the sum of its proper divisors (27692188416).

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

8420428800 is a wasteful number, since it uses less digits than its factorization.

8420428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8420428800 is about 91762.8944617594. The cubic root of 8420428800 is about 2034.4392968133.

The spelling of 8420428800 in words is "eight billion, four hundred twenty million, four hundred twenty-eight thousand, eight hundred".