1091428800 has 336 divisors, whose sum is σ = 4465880832. Its totient is φ = 226713600.

The previous prime is 1091428769. The next prime is 1091428813. The reversal of 1091428800 is 88241901.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 368124 + ... + 371076.

It is an arithmetic number, because the mean of its divisors is an integer number (13291312).

Almost surely, 2^1091428800 is an apocalyptic number.

1091428800 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 1091428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232940416).

1091428800 is an abundant number, since it is smaller than the sum of its proper divisors (3374452032).

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

1091428800 is a wasteful number, since it uses less digits than its factorization.

1091428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1091428800 is about 33036.7795040618. The cubic root of 1091428800 is about 1029.5919456930.

The spelling of 1091428800 in words is "one billion, ninety-one million, four hundred twenty-eight thousand, eight hundred".