7428506800 has 240 divisors, whose sum is σ = 21320822880. Its totient is φ = 2451456000.

The previous prime is 7428506797. The next prime is 7428506801. The reversal of 7428506800 is 86058247.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7428506801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3488136 + ... + 3490264.

It is an arithmetic number, because the mean of its divisors is an integer number (88836762).

Almost surely, 2^7428506800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7428506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660411440).

7428506800 is an abundant number, since it is smaller than the sum of its proper divisors (13892316080).

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

7428506800 is a wasteful number, since it uses less digits than its factorization.

7428506800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 7428506800 is about 86188.7858134688. The cubic root of 7428506800 is about 1951.1942541990.

The spelling of 7428506800 in words is "seven billion, four hundred twenty-eight million, five hundred six thousand, eight hundred".