1128978000 has 480 divisors, whose sum is σ = 4309224192. Its totient is φ = 285120000.

The previous prime is 1128977999. The next prime is 1128978001. The reversal of 1128978000 is 8798211.

It is an interprime number because it is at equal distance from previous prime (1128977999) and next prime (1128978001).

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 (1128978001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11177950 + ... + 11178050.

Almost surely, 2^1128978000 is an apocalyptic number.

1128978000 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 1128978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154612096).

1128978000 is an abundant number, since it is smaller than the sum of its proper divisors (3180246192).

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

1128978000 is a wasteful number, since it uses less digits than its factorization.

1128978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1128978000 is about 33600.2678560752. The cubic root of 1128978000 is about 1041.2663322072.

The spelling of 1128978000 in words is "one billion, one hundred twenty-eight million, nine hundred seventy-eight thousand".