1387290432 has 224 divisors, whose sum is σ = 4222479744. Its totient is φ = 398131200.

The previous prime is 1387290427. The next prime is 1387290439. The reversal of 1387290432 is 2340927831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387290439) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3203688 + ... + 3204120.

It is an arithmetic number, because the mean of its divisors is an integer number (18850356).

Almost surely, 2^1387290432 is an apocalyptic number.

1387290432 is a gapful number since it is divisible by the number (12) 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 1387290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111239872).

1387290432 is an abundant number, since it is smaller than the sum of its proper divisors (2835189312).

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

1387290432 is a wasteful number, since it uses less digits than its factorization.

1387290432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1387290432 is about 37246.3479015057. The cubic root of 1387290432 is about 1115.2933952783.

The spelling of 1387290432 in words is "one billion, three hundred eighty-seven million, two hundred ninety thousand, four hundred thirty-two".