8428492800 has 1152 divisors, whose sum is σ = 38672524800. Its totient is φ = 1751777280.

The previous prime is 8428492799. The next prime is 8428492801. The reversal of 8428492800 is 82948248.

It is a happy number.

8428492800 is a `hidden beast` number, since 84 + 2 + 8 + 492 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8428492799) and next prime (8428492801).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8428492801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125798367 + ... + 125798433.

It is an arithmetic number, because the mean of its divisors is an integer number (33569900).

Almost surely, 2^8428492800 is an apocalyptic number.

8428492800 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 8428492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336262400).

8428492800 is an abundant number, since it is smaller than the sum of its proper divisors (30244032000).

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

8428492800 is a wasteful number, since it uses less digits than its factorization.

8428492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8428492800 is about 91806.8232758328. The cubic root of 8428492800 is about 2035.0885307407.

The spelling of 8428492800 in words is "eight billion, four hundred twenty-eight million, four hundred ninety-two thousand, eight hundred".