1378013328 has 60 divisors (see below), whose sum is σ = 3865293900. Its totient is φ = 458293248.

The previous prime is 1378013317. The next prime is 1378013339. The reversal of 1378013328 is 8233108731.

It is an interprime number because it is at equal distance from previous prime (1378013317) and next prime (1378013339).

It can be written as a sum of positive squares in 2 ways, for example, as 596922624 + 781090704 = 24432^2 + 27948^2 .

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 = 1378013292 and 1378013301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54000 + ... + 75312.

It is an arithmetic number, because the mean of its divisors is an integer number (64421565).

Almost surely, 2^1378013328 is an apocalyptic number.

1378013328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1378013328 is an abundant number, since it is smaller than the sum of its proper divisors (2487280572).

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

1378013328 is a wasteful number, since it uses less digits than its factorization.

1378013328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21776 (or 21767 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1378013328 is about 37121.6019050902. The cubic root of 1378013328 is about 1112.8017655149.

The spelling of 1378013328 in words is "one billion, three hundred seventy-eight million, thirteen thousand, three hundred twenty-eight".