1829628 has 30 divisors (see below), whose sum is σ = 4783856. Its totient is φ = 609768.

The previous prime is 1829623. The next prime is 1829629. The reversal of 1829628 is 8269281.

1829628 is a `hidden beast` number, since 1 + 8 + 29 + 628 = 666.

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 = 1829592 and 1829601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829621) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2500 + ... + 3147.

2^1829628 is an apocalyptic number.

1829628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1829628 is an abundant number, since it is smaller than the sum of its proper divisors (2954228).

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

1829628 is a wasteful number, since it uses less digits than its factorization.

1829628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5652 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1829628 is about 1352.6374237023. The cubic root of 1829628 is about 122.3078314208.

It can be divided in two parts, 18 and 29628, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 1829628 in words is "one million, eight hundred twenty-nine thousand, six hundred twenty-eight".