1078057728 has 216 divisors, whose sum is σ = 3506890800. Its totient is φ = 326430720.

The previous prime is 1078057727. The next prime is 1078057741. The reversal of 1078057728 is 8277508701.

1078057728 is a `hidden beast` number, since 1 + 0 + 78 + 0 + 577 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (1078057727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835708 + ... + 836996.

Almost surely, 2^1078057728 is an apocalyptic number.

1078057728 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 1078057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753445400).

1078057728 is an abundant number, since it is smaller than the sum of its proper divisors (2428833072).

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

1078057728 is a wasteful number, since it uses less digits than its factorization.

1078057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The square root of 1078057728 is about 32833.7894249202. The cubic root of 1078057728 is about 1025.3701547902.

The spelling of 1078057728 in words is "one billion, seventy-eight million, fifty-seven thousand, seven hundred twenty-eight".