1087228800 has 288 divisors, whose sum is σ = 4434515280. Its totient is φ = 248463360.

The previous prime is 1087228799. The next prime is 1087228801. The reversal of 1087228800 is 88227801.

It is an interprime number because it is at equal distance from previous prime (1087228799) and next prime (1087228801).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087228801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198904 + ... + 204296.

Almost surely, 2^1087228800 is an apocalyptic number.

1087228800 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 1087228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217257640).

1087228800 is an abundant number, since it is smaller than the sum of its proper divisors (3347286480).

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

1087228800 is a wasteful number, since it uses less digits than its factorization.

1087228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1087228800 is about 32973.1527155048. The cubic root of 1087228800 is about 1028.2695675043.

Subtracting from 1087228800 its reverse (88227801), we obtain a palindrome (999000999).

The spelling of 1087228800 in words is "one billion, eighty-seven million, two hundred twenty-eight thousand, eight hundred".