1074493728 has 384 divisors, whose sum is σ = 4041031680. Its totient is φ = 269568000.

The previous prime is 1074493723. The next prime is 1074493733. The reversal of 1074493728 is 8273944701.

It is an interprime number because it is at equal distance from previous prime (1074493723) and next prime (1074493733).

It is a super-2 number, since 2×1074493728² = 2309073543022675968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1074493723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2062108 + ... + 2062628.

It is an arithmetic number, because the mean of its divisors is an integer number (10523520).

Almost surely, 2^1074493728 is an apocalyptic number.

1074493728 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 1074493728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020515840).

1074493728 is an abundant number, since it is smaller than the sum of its proper divisors (2966537952).

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

1074493728 is a wasteful number, since it uses less digits than its factorization.

1074493728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1074493728 is about 32779.4711366733. The cubic root of 1074493728 is about 1024.2389680727.

The spelling of 1074493728 in words is "one billion, seventy-four million, four hundred ninety-three thousand, seven hundred twenty-eight".