1828512 has 72 divisors (see below), whose sum is σ = 5949216. Its totient is φ = 521856.

The previous prime is 1828507. The next prime is 1828517. The reversal of 1828512 is 2158281.

It is an interprime number because it is at equal distance from previous prime (1828507) and next prime (1828517).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1828512² = 6686912268288, which contains 22 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1828517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1563 + ... + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (82628).

2^1828512 is an apocalyptic number.

1828512 is a gapful number since it is divisible by the number (12) 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 1828512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974608).

1828512 is an abundant number, since it is smaller than the sum of its proper divisors (4120704).

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

1828512 is a wasteful number, since it uses less digits than its factorization.

1828512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 919 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 1828512 is about 1352.2248333765. The cubic root of 1828512 is about 122.2829587324.

The spelling of 1828512 in words is "one million, eight hundred twenty-eight thousand, five hundred twelve".