1825728640 has 64 divisors (see below), whose sum is σ = 4515183000. Its totient is φ = 705101824.

The previous prime is 1825728637. The next prime is 1825728643. The reversal of 1825728640 is 468275281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1825728637) and next prime (1825728643).

It can be written as a sum of positive squares in 4 ways, for example, as 1798438464 + 27290176 = 42408^2 + 5224^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×1825728640⁴ (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1825728643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30625 + ... + 67744.

Almost surely, 2^1825728640 is an apocalyptic number.

1825728640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1825728640 is an abundant number, since it is smaller than the sum of its proper divisors (2689454360).

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

1825728640 is an equidigital number, since it uses as much as digits as its factorization.

1825728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98417 (or 98405 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 1825728640 is about 42728.5459616870. The cubic root of 1825728640 is about 1222.2088087172.

The spelling of 1825728640 in words is "one billion, eight hundred twenty-five million, seven hundred twenty-eight thousand, six hundred forty".