1953828 has 48 divisors (see below), whose sum is σ = 5152000. Its totient is φ = 640224.

The previous prime is 1953823. The next prime is 1953829. The reversal of 1953828 is 8283591.

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 = 1953792 and 1953801.

It is not an unprimeable number, because it can be changed into a prime (1953821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8418 + ... + 8646.

2^1953828 is an apocalyptic number.

1953828 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 1953828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576000).

1953828 is an abundant number, since it is smaller than the sum of its proper divisors (3198172).

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

1953828 is a wasteful number, since it uses less digits than its factorization.

1953828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1953828 is about 1397.7939762354. The cubic root of 1953828 is about 125.0149955343.

The spelling of 1953828 in words is "one million, nine hundred fifty-three thousand, eight hundred twenty-eight".