1611428800 has 84 divisors (see below), whose sum is σ = 3986637696. Its totient is φ = 641075200.

The previous prime is 1611428771. The next prime is 1611428809. The reversal of 1611428800 is 88241161.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1611428809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302964 + ... + 308236.

Almost surely, 2^1611428800 is an apocalyptic number.

1611428800 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 1611428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993318848).

1611428800 is an abundant number, since it is smaller than the sum of its proper divisors (2375208896).

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

1611428800 is a wasteful number, since it uses less digits than its factorization.

1611428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 1611428800 is about 40142.6057948410. The cubic root of 1611428800 is about 1172.3853252762.

Adding to 1611428800 its reverse (88241161), we get a palindrome (1699669961).

The spelling of 1611428800 in words is "one billion, six hundred eleven million, four hundred twenty-eight thousand, eight hundred".