1387423632 has 240 divisors, whose sum is σ = 4351060800. Its totient is φ = 379524096.

The previous prime is 1387423621. The next prime is 1387423637. The reversal of 1387423632 is 2363247831.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1387423637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9311494 + ... + 9311642.

It is an arithmetic number, because the mean of its divisors is an integer number (18129420).

Almost surely, 2^1387423632 is an apocalyptic number.

1387423632 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 1387423632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175530400).

1387423632 is an abundant number, since it is smaller than the sum of its proper divisors (2963637168).

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

1387423632 is a wasteful number, since it uses less digits than its factorization.

1387423632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 1387423632 is about 37248.1359533601. The cubic root of 1387423632 is about 1115.3290889159.

The spelling of 1387423632 in words is "one billion, three hundred eighty-seven million, four hundred twenty-three thousand, six hundred thirty-two".