1828972224000 has 1600 divisors, whose sum is σ = 7415096832000. Its totient is φ = 446404608000.

The previous prime is 1828972223929. The next prime is 1828972224029. The reversal of 1828972224000 is 4222798281.

It is a happy number.

1828972224000 is a `hidden beast` number, since 1 + 82 + 89 + 72 + 22 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3053375701 + ... + 3053376299.

It is an arithmetic number, because the mean of its divisors is an integer number (4634435520).

Almost surely, 2^{1828972224000} is an apocalyptic number.

1828972224000 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 1828972224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707548416000).

1828972224000 is an abundant number, since it is smaller than the sum of its proper divisors (5586124608000).

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

1828972224000 is an equidigital number, since it uses as much as digits as its factorization.

1828972224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1828972224000 in words is "one trillion, eight hundred twenty-eight billion, nine hundred seventy-two million, two hundred twenty-four thousand".