7428927744 has 288 divisors, whose sum is σ = 25589571840. Its totient is φ = 2081783808.

The previous prime is 7428927707. The next prime is 7428927749. The reversal of 7428927744 is 4477298247.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7428927749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2562904 + ... + 2565800.

It is an arithmetic number, because the mean of its divisors is an integer number (88852680).

Almost surely, 2^7428927744 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 7428927744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12794785920).

7428927744 is an abundant number, since it is smaller than the sum of its proper divisors (18160644096).

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

7428927744 is a wasteful number, since it uses less digits than its factorization.

7428927744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2962 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 7428927744 is about 86191.2277670994. The cubic root of 7428927744 is about 1951.2311089812.

The spelling of 7428927744 in words is "seven billion, four hundred twenty-eight million, nine hundred twenty-seven thousand, seven hundred forty-four".