1379096928 has 288 divisors, whose sum is σ = 4636300032. Its totient is φ = 399168000.

The previous prime is 1379096911. The next prime is 1379096977. The reversal of 1379096928 is 8296909731.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 1966978 + ... + 1967678.

It is an arithmetic number, because the mean of its divisors is an integer number (16098264).

Almost surely, 2^1379096928 is an apocalyptic number.

1379096928 is a gapful number since it is divisible by the number (18) 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 1379096928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318150016).

1379096928 is an abundant number, since it is smaller than the sum of its proper divisors (3257203104).

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

1379096928 is a wasteful number, since it uses less digits than its factorization.

1379096928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 1379096928 is about 37136.1943122878. The cubic root of 1379096928 is about 1113.0933727725.

The spelling of 1379096928 in words is "one billion, three hundred seventy-nine million, ninety-six thousand, nine hundred twenty-eight".