1766016828 has 72 divisors (see below), whose sum is σ = 4640497680. Its totient is φ = 565608960.

The previous prime is 1766016793. The next prime is 1766016829. The reversal of 1766016828 is 8286106671.

It is a happy number.

1766016828 is a `hidden beast` number, since 17 + 6 + 601 + 6 + 8 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1766016829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216276 + ... + 224292.

Almost surely, 2^1766016828 is an apocalyptic number.

1766016828 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 1766016828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320248840).

1766016828 is an abundant number, since it is smaller than the sum of its proper divisors (2874480852).

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

1766016828 is a wasteful number, since it uses less digits than its factorization.

1766016828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1766016828 is about 42024.0029982866. The cubic root of 1766016828 is about 1208.7364329288.

The spelling of 1766016828 in words is "one billion, seven hundred sixty-six million, sixteen thousand, eight hundred twenty-eight".