1230028800 has 720 divisors, whose sum is σ = 5460817152. Its totient is φ = 235929600.

The previous prime is 1230028771. The next prime is 1230028801. The reversal of 1230028800 is 88200321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230028801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94617594 + ... + 94617606.

Almost surely, 2^1230028800 is an apocalyptic number.

1230028800 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 1230028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730408576).

1230028800 is an abundant number, since it is smaller than the sum of its proper divisors (4230788352).

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

1230028800 is a wasteful number, since it uses less digits than its factorization.

1230028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1230028800 is about 35071.7664225799. The cubic root of 1230028800 is about 1071.4496320940.

The spelling of 1230028800 in words is "one billion, two hundred thirty million, twenty-eight thousand, eight hundred".