1079728440 has 256 divisors, whose sum is σ = 3840721920. Its totient is φ = 237711360.

The previous prime is 1079728439. The next prime is 1079728499. The reversal of 1079728440 is 448279701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1079728392 and 1079728401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3684934 + ... + 3685226.

It is an arithmetic number, because the mean of its divisors is an integer number (15002820).

Almost surely, 2^1079728440 is an apocalyptic number.

1079728440 is a gapful number since it is divisible by the number (10) 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 1079728440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920360960).

1079728440 is an abundant number, since it is smaller than the sum of its proper divisors (2760993480).

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

1079728440 is a wasteful number, since it uses less digits than its factorization.

1079728440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1079728440 is about 32859.2215367315. The cubic root of 1079728440 is about 1025.8995680072.

The spelling of 1079728440 in words is "one billion, seventy-nine million, seven hundred twenty-eight thousand, four hundred forty".