1078828800 has 432 divisors, whose sum is σ = 4258060800. Its totient is φ = 235192320.

The previous prime is 1078828787. The next prime is 1078828811. The reversal of 1078828800 is 88288701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3091026 + ... + 3091374.

Almost surely, 2^1078828800 is an apocalyptic number.

1078828800 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 1078828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129030400).

1078828800 is an abundant number, since it is smaller than the sum of its proper divisors (3179232000).

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

1078828800 is a wasteful number, since it uses less digits than its factorization.

1078828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 1078828800 is about 32845.5293761571. The cubic root of 1078828800 is about 1025.6145590777.

The spelling of 1078828800 in words is "one billion, seventy-eight million, eight hundred twenty-eight thousand, eight hundred".