1639428960 has 192 divisors, whose sum is σ = 5803757568. Its totient is φ = 385972224.

The previous prime is 1639428941. The next prime is 1639428977. The reversal of 1639428960 is 698249361.

1639428960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137809 + ... + 149231.

It is an arithmetic number, because the mean of its divisors is an integer number (30227904).

Almost surely, 2^1639428960 is an apocalyptic number.

1639428960 is a gapful number since it is divisible by the number (10) 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 1639428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901878784).

1639428960 is an abundant number, since it is smaller than the sum of its proper divisors (4164328608).

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

1639428960 is a wasteful number, since it uses less digits than its factorization.

1639428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11477 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 1639428960 is about 40489.8624349355. The cubic root of 1639428960 is about 1179.1368196540.

It can be divided in two parts, 16394 and 28960, that added together give a palindrome (45354).

The spelling of 1639428960 in words is "one billion, six hundred thirty-nine million, four hundred twenty-eight thousand, nine hundred sixty".