7428319920 has 320 divisors, whose sum is σ = 29866659840. Its totient is φ = 1661617152.

The previous prime is 7428319909. The next prime is 7428319931. The reversal of 7428319920 is 299138247.

It is an interprime number because it is at equal distance from previous prime (7428319909) and next prime (7428319931).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 705414 + ... + 715866.

It is an arithmetic number, because the mean of its divisors is an integer number (93333312).

Almost surely, 2^7428319920 is an apocalyptic number.

7428319920 is a gapful number since it is divisible by the number (70) 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 7428319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14933329920).

7428319920 is an abundant number, since it is smaller than the sum of its proper divisors (22438339920).

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

7428319920 is a wasteful number, since it uses less digits than its factorization.

7428319920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10529 (or 10517 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7428319920 is about 86187.7016748909. The cubic root of 7428319920 is about 1951.1778919048.

The spelling of 7428319920 in words is "seven billion, four hundred twenty-eight million, three hundred nineteen thousand, nine hundred twenty".