7728412440 has 128 divisors (see below), whose sum is σ = 26632488960. Its totient is φ = 1757489664.

The previous prime is 7728412397. The next prime is 7728412441. The reversal of 7728412440 is 442148277.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728412441) 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, 142129 + ... + 188831.

It is an arithmetic number, because the mean of its divisors is an integer number (208066320).

Almost surely, 2^7728412440 is an apocalyptic number.

7728412440 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 7728412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13316244480).

7728412440 is an abundant number, since it is smaller than the sum of its proper divisors (18904076520).

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

7728412440 is a wasteful number, since it uses less digits than its factorization.

7728412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46921 (or 46917 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The square root of 7728412440 is about 87911.3897057713. The cubic root of 7728412440 is about 1977.1066504848.

The spelling of 7728412440 in words is "seven billion, seven hundred twenty-eight million, four hundred twelve thousand, four hundred forty".