1600828416 has 132 divisors (see below), whose sum is σ = 5042890944. Its totient is φ = 485068800.

The previous prime is 1600828403. The next prime is 1600828417. The reversal of 1600828416 is 6148280061.

1600828416 is a `hidden beast` number, since 1 + 600 + 8 + 2 + 8 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600828417) 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, 93481 + ... + 109271.

Almost surely, 2^1600828416 is an apocalyptic number.

1600828416 is a gapful number since it is divisible by the number (16) 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 1600828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521445472).

1600828416 is an abundant number, since it is smaller than the sum of its proper divisors (3442062528).

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

1600828416 is a wasteful number, since it uses less digits than its factorization.

1600828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15828 (or 15807 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1600828416 is about 40010.3538599698. The cubic root of 1600828416 is about 1169.8089190469.

The spelling of 1600828416 in words is "one billion, six hundred million, eight hundred twenty-eight thousand, four hundred sixteen".