1828370400 has 288 divisors, whose sum is σ = 6461023968. Its totient is φ = 447283200.

The previous prime is 1828370393. The next prime is 1828370419. The reversal of 1828370400 is 40738281.

1828370400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1672254 + ... + 1673346.

It is an arithmetic number, because the mean of its divisors is an integer number (22434111).

Almost surely, 2^1828370400 is an apocalyptic number.

1828370400 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 1828370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230511984).

1828370400 is an abundant number, since it is smaller than the sum of its proper divisors (4632653568).

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

1828370400 is a wasteful number, since it uses less digits than its factorization.

1828370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1828370400 is about 42759.4480787580. The cubic root of 1828370400 is about 1222.7980211945.

The spelling of 1828370400 in words is "one billion, eight hundred twenty-eight million, three hundred seventy thousand, four hundred".