7281738828 has 216 divisors, whose sum is σ = 23980320000. Its totient is φ = 1819179648.

The previous prime is 7281738803. The next prime is 7281738839. The reversal of 7281738828 is 8288371827.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 804673 + ... + 813671.

It is an arithmetic number, because the mean of its divisors is an integer number (111020000).

Almost surely, 2^7281738828 is an apocalyptic number.

7281738828 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 7281738828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990160000).

7281738828 is an abundant number, since it is smaller than the sum of its proper divisors (16698581172).

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

7281738828 is a wasteful number, since it uses less digits than its factorization.

7281738828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061 (or 9043 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The square root of 7281738828 is about 85333.1051116740. The cubic root of 7281738828 is about 1938.2585098004.

The spelling of 7281738828 in words is "seven billion, two hundred eighty-one million, seven hundred thirty-eight thousand, eight hundred twenty-eight".