1630728960 has 576 divisors, whose sum is σ = 6530334720. Its totient is φ = 338411520.

The previous prime is 1630728949. The next prime is 1630728973. The reversal of 1630728960 is 698270361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15832269 + ... + 15832371.

Almost surely, 2^1630728960 is an apocalyptic number.

1630728960 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 1630728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265167360).

1630728960 is an abundant number, since it is smaller than the sum of its proper divisors (4899605760).

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

1630728960 is a wasteful number, since it uses less digits than its factorization.

1630728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1630728960 is about 40382.2852250835. The cubic root of 1630728960 is about 1177.0473339038.

The spelling of 1630728960 in words is "one billion, six hundred thirty million, seven hundred twenty-eight thousand, nine hundred sixty".