1773828 has 36 divisors (see below), whose sum is σ = 5125120. Its totient is φ = 506736.

The previous prime is 1773823. The next prime is 1773841. The reversal of 1773828 is 8283771.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 1773792 and 1773801.

It is not an unprimeable number, because it can be changed into a prime (1773823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3268 + ... + 3771.

2^1773828 is an apocalyptic number.

1773828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1773828 is an abundant number, since it is smaller than the sum of its proper divisors (3351292).

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

1773828 is a wasteful number, since it uses less digits than its factorization.

1773828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7051 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 1773828 is about 1331.8513430560. The cubic root of 1773828 is about 121.0515910500.

It can be divided in two parts, 17738 and 28, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 1773828 in words is "one million, seven hundred seventy-three thousand, eight hundred twenty-eight".