463117728 has 48 divisors (see below), whose sum is σ = 1216918080. Its totient is φ = 154215936.

The previous prime is 463117717. The next prime is 463117741. The reversal of 463117728 is 827711364.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129468 + ... + 132996.

It is an arithmetic number, because the mean of its divisors is an integer number (25352460).

Almost surely, 2^463117728 is an apocalyptic number.

463117728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

463117728 is an abundant number, since it is smaller than the sum of its proper divisors (753800352).

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

463117728 is a wasteful number, since it uses less digits than its factorization.

463117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4901 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 463117728 is about 21520.1702595495. The cubic root of 463117728 is about 773.6843320117.

The spelling of 463117728 in words is "four hundred sixty-three million, one hundred seventeen thousand, seven hundred twenty-eight".