1828252800 has 576 divisors, whose sum is σ = 7399080000. Its totient is φ = 425779200.

The previous prime is 1828252793. The next prime is 1828252817. The reversal of 1828252800 is 82528281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9187101 + ... + 9187299.

It is an arithmetic number, because the mean of its divisors is an integer number (12845625).

Almost surely, 2^1828252800 is an apocalyptic number.

1828252800 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 1828252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699540000).

1828252800 is an abundant number, since it is smaller than the sum of its proper divisors (5570827200).

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

1828252800 is a wasteful number, since it uses less digits than its factorization.

1828252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1828252800 is about 42758.0729219641. The cubic root of 1828252800 is about 1222.7718040177.

The spelling of 1828252800 in words is "one billion, eight hundred twenty-eight million, two hundred fifty-two thousand, eight hundred".