7282411128 has 96 divisors (see below), whose sum is σ = 20383334400. Its totient is φ = 2346408000.

The previous prime is 7282411127. The next prime is 7282411139. The reversal of 7282411128 is 8211142827.

It is a happy number.

It is a super-3 number, since 3×7282411128³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7282411092 and 7282411101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7282411121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2853453 + ... + 2856003.

It is an arithmetic number, because the mean of its divisors is an integer number (212326400).

Almost surely, 2^7282411128 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 7282411128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10191667200).

7282411128 is an abundant number, since it is smaller than the sum of its proper divisors (13100923272).

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

7282411128 is a wasteful number, since it uses less digits than its factorization.

7282411128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3866 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 7282411128 is about 85337.0442891011. The cubic root of 7282411128 is about 1938.3181590649.

The spelling of 7282411128 in words is "seven billion, two hundred eighty-two million, four hundred eleven thousand, one hundred twenty-eight".