7287728448 has 336 divisors, whose sum is σ = 26356446144. Its totient is φ = 1746984960.

The previous prime is 7287728423. The next prime is 7287728519. The reversal of 7287728448 is 8448277827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7287728448² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1342636 + ... + 1348052.

It is an arithmetic number, because the mean of its divisors is an integer number (78441804).

Almost surely, 2^7287728448 is an apocalyptic number.

7287728448 is a gapful number since it is divisible by the number (78) 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 7287728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178223072).

7287728448 is an abundant number, since it is smaller than the sum of its proper divisors (19068717696).

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

7287728448 is a wasteful number, since it uses less digits than its factorization.

7287728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5453 counting only the distinct ones).

The product of its digits is 11239424, while the sum is 57.

The square root of 7287728448 is about 85368.1934212034. The cubic root of 7287728448 is about 1938.7898046160.

The spelling of 7287728448 in words is "seven billion, two hundred eighty-seven million, seven hundred twenty-eight thousand, four hundred forty-eight".