1016317728 has 72 divisors (see below), whose sum is σ = 2957402448. Its totient is φ = 330890112.

The previous prime is 1016317727. The next prime is 1016317741. The reversal of 1016317728 is 8277136101.

1016317728 is a `hidden beast` number, since 10 + 1 + 631 + 7 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1016317692 and 1016317701.

It is not an unprimeable number, because it can be changed into a prime (1016317723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28650 + ... + 53417.

It is an arithmetic number, because the mean of its divisors is an integer number (41075034).

Almost surely, 2^1016317728 is an apocalyptic number.

1016317728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1016317728 is an abundant number, since it is smaller than the sum of its proper divisors (1941084720).

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

1016317728 is a wasteful number, since it uses less digits than its factorization.

1016317728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82126 (or 82115 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1016317728 is about 31879.7385183756. The cubic root of 1016317728 is about 1005.4099226260.

The spelling of 1016317728 in words is "one billion, sixteen million, three hundred seventeen thousand, seven hundred twenty-eight".