1380598128 has 480 divisors, whose sum is σ = 5165294400. Its totient is φ = 349526016.

The previous prime is 1380598103. The next prime is 1380598133. The reversal of 1380598128 is 8218950831.

It is a happy number.

1380598128 is a `hidden beast` number, since 1 + 38 + 0 + 598 + 1 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7980250 + ... + 7980422.

It is an arithmetic number, because the mean of its divisors is an integer number (10761030).

Almost surely, 2^1380598128 is an apocalyptic number.

1380598128 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 1380598128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582647200).

1380598128 is an abundant number, since it is smaller than the sum of its proper divisors (3784696272).

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

1380598128 is a wasteful number, since it uses less digits than its factorization.

1380598128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1380598128 is about 37156.4009021326. The cubic root of 1380598128 is about 1113.4971079504.

The spelling of 1380598128 in words is "one billion, three hundred eighty million, five hundred ninety-eight thousand, one hundred twenty-eight".