1916928 has 90 divisors (see below), whose sum is σ = 5963594. Its totient is φ = 589824.

The previous prime is 1916921. The next prime is 1916939. The reversal of 1916928 is 8296191.

It can be written as a sum of positive squares in only one way, i.e., 1327104 + 589824 = 1152^2 + 768^2 .

It is a super-2 number, since 2×1916928² = 7349225914368, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (7776) is a multiple of the sum of its prime divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 1916892 and 1916901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1916921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147450 + ... + 147462.

2^1916928 is an apocalyptic number.

1916928 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 1916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981797).

1916928 is an abundant number, since it is smaller than the sum of its proper divisors (4046666).

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

1916928 is an equidigital number, since it uses as much as digits as its factorization.

1916928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 18 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1916928 is about 1384.5316897782. The cubic root of 1916928 is about 124.2229772265. Note that the first 3 decimals are identical.

The spelling of 1916928 in words is "one million, nine hundred sixteen thousand, nine hundred twenty-eight".