1148444928 has 216 divisors, whose sum is σ = 3551347800. Its totient is φ = 355663872.

The previous prime is 1148444917. The next prime is 1148445019. The reversal of 1148444928 is 8294448411.

1148444928 is a `hidden beast` number, since 114 + 8 + 44 + 492 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 156950784 + 991494144 = 12528^2 + 31488^2 .

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 4269178 + ... + 4269446.

It is an arithmetic number, because the mean of its divisors is an integer number (16441425).

Almost surely, 2^1148444928 is an apocalyptic number.

1148444928 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 1148444928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775673900).

1148444928 is an abundant number, since it is smaller than the sum of its proper divisors (2402902872).

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

1148444928 is a wasteful number, since it uses less digits than its factorization.

1148444928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 1148444928 is about 33888.7138735007. The cubic root of 1148444928 is about 1047.2170987918.

The spelling of 1148444928 in words is "one billion, one hundred forty-eight million, four hundred forty-four thousand, nine hundred twenty-eight".