1187828928 has 672 divisors, whose sum is σ = 4540300800. Its totient is φ = 301086720.

The previous prime is 1187828903. The next prime is 1187828963. The reversal of 1187828928 is 8298287811.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 51644725 + ... + 51644747.

It is an arithmetic number, because the mean of its divisors is an integer number (6756400).

Almost surely, 2^1187828928 is an apocalyptic number.

1187828928 is a gapful number since it is divisible by the number (18) 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 1187828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270150400).

1187828928 is an abundant number, since it is smaller than the sum of its proper divisors (3352471872).

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

1187828928 is a wasteful number, since it uses less digits than its factorization.

1187828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 54.

The square root of 1187828928 is about 34464.8941388190. The cubic root of 1187828928 is about 1059.0536611414.

The spelling of 1187828928 in words is "one billion, one hundred eighty-seven million, eight hundred twenty-eight thousand, nine hundred twenty-eight".