1379828520 has 320 divisors, whose sum is σ = 5371470720. Its totient is φ = 311164416.

The previous prime is 1379828519. The next prime is 1379828533. The reversal of 1379828520 is 258289731.

It is a happy number.

1379828520 is a `hidden beast` number, since 1 + 37 + 98 + 2 + 8 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1882074 + ... + 1882806.

It is an arithmetic number, because the mean of its divisors is an integer number (16785846).

Almost surely, 2^1379828520 is an apocalyptic number.

1379828520 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 1379828520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685735360).

1379828520 is an abundant number, since it is smaller than the sum of its proper divisors (3991642200).

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

1379828520 is a wasteful number, since it uses less digits than its factorization.

1379828520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1379828520 is about 37146.0431270950. The cubic root of 1379828520 is about 1113.2901648992.

The spelling of 1379828520 in words is "one billion, three hundred seventy-nine million, eight hundred twenty-eight thousand, five hundred twenty".