1828804960 has 72 divisors (see below), whose sum is σ = 4475002896. Its totient is φ = 706245120.

The previous prime is 1828804951. The next prime is 1828804969. The reversal of 1828804960 is 694088281.

It is an interprime number because it is at equal distance from previous prime (1828804951) and next prime (1828804969).

It is a self number, because there is not a number n which added to its sum of digits gives 1828804960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828804969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127765 + ... + 141355.

It is an arithmetic number, because the mean of its divisors is an integer number (62152818).

Almost surely, 2^1828804960 is an apocalyptic number.

1828804960 is a gapful number since it is divisible by the number (10) 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 1828804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237501448).

1828804960 is an abundant number, since it is smaller than the sum of its proper divisors (2646197936).

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

1828804960 is a wasteful number, since it uses less digits than its factorization.

1828804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13664 (or 13627 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 1828804960 is about 42764.5292269189. The cubic root of 1828804960 is about 1222.8948901541.

The spelling of 1828804960 in words is "one billion, eight hundred twenty-eight million, eight hundred four thousand, nine hundred sixty".