1916512128 has 96 divisors (see below), whose sum is σ = 5523532560. Its totient is φ = 637845504.

The previous prime is 1916512127. The next prime is 1916512133. The reversal of 1916512128 is 8212156191.

1916512128 is a `hidden beast` number, since 1 + 9 + 16 + 512 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1916512092 and 1916512101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1916512127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1401301 + ... + 1402667.

Almost surely, 2^1916512128 is an apocalyptic number.

1916512128 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 1916512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761766280).

1916512128 is an abundant number, since it is smaller than the sum of its proper divisors (3607020432).

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

1916512128 is a wasteful number, since it uses less digits than its factorization.

1916512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2589 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 1916512128 is about 43777.9867970193. The cubic root of 1916512128 is about 1242.1399330460.

The spelling of 1916512128 in words is "one billion, nine hundred sixteen million, five hundred twelve thousand, one hundred twenty-eight".