1075019328 has 168 divisors, whose sum is σ = 3217468800. Its totient is φ = 342752256.

The previous prime is 1075019279. The next prime is 1075019339. The reversal of 1075019328 is 8239105701.

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

It is a junction number, because it is equal to n+sod(n) for n = 1075019292 and 1075019301.

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, 2321625 + ... + 2322087.

It is an arithmetic number, because the mean of its divisors is an integer number (19151600).

Almost surely, 2^1075019328 is an apocalyptic number.

1075019328 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 1075019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608734400).

1075019328 is an abundant number, since it is smaller than the sum of its proper divisors (2142449472).

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

1075019328 is a wasteful number, since it uses less digits than its factorization.

1075019328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1075019328 is about 32787.4873694219. The cubic root of 1075019328 is about 1024.4059466330.

The spelling of 1075019328 in words is "one billion, seventy-five million, nineteen thousand, three hundred twenty-eight".