1825128 has 24 divisors (see below), whose sum is σ = 4943250. Its totient is φ = 608352.

The previous prime is 1825081. The next prime is 1825129. The reversal of 1825128 is 8215281.

It can be written as a sum of positive squares in only one way, i.e., 1633284 + 191844 = 1278^2 + 438^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1825129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12603 + ... + 12746.

2^1825128 is an apocalyptic number.

1825128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1825128 is an abundant number, since it is smaller than the sum of its proper divisors (3118122).

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

1825128 is a wasteful number, since it uses less digits than its factorization.

1825128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25361 (or 25354 counting only the distinct ones).

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

The square root of 1825128 is about 1350.9729827054. The cubic root of 1825128 is about 122.2074763967.

It can be divided in two parts, 1825 and 128, that added together give a triangular number (1953 = T₆₂).

The spelling of 1825128 in words is "one million, eight hundred twenty-five thousand, one hundred twenty-eight".