1988428800 has 264 divisors, whose sum is σ = 6963009696. Its totient is φ = 498728960.

The previous prime is 1988428787. The next prime is 1988428801. The reversal of 1988428800 is 88248891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1988428800.

It is not an unprimeable number, because it can be changed into a prime (1988428801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1304839 + ... + 1306361.

Almost surely, 2^1988428800 is an apocalyptic number.

1988428800 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 1988428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481504848).

1988428800 is an abundant number, since it is smaller than the sum of its proper divisors (4974580896).

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

1988428800 is a wasteful number, since it uses less digits than its factorization.

1988428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The square root of 1988428800 is about 44591.8019371274. The cubic root of 1988428800 is about 1257.4865490830.

It can be divided in two parts, 19884 and 28800, that added together give a palindrome (48684).

The spelling of 1988428800 in words is "one billion, nine hundred eighty-eight million, four hundred twenty-eight thousand, eight hundred".