467947728 has 60 divisors (see below), whose sum is σ = 1351861888. Its totient is φ = 150949440.

The previous prime is 467947717. The next prime is 467947771. The reversal of 467947728 is 827749764.

467947728 is a `hidden beast` number, since 467 + 94 + 77 + 28 = 666.

It is a super-2 number, since 2×467947728² = 437950152280723968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47950 + ... + 56877.

Almost surely, 2^467947728 is an apocalyptic number.

467947728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

467947728 is an abundant number, since it is smaller than the sum of its proper divisors (883914160).

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

467947728 is a wasteful number, since it uses less digits than its factorization.

467947728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104872 (or 104863 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 467947728 is about 21632.0994820198. The cubic root of 467947728 is about 776.3647008581.

The spelling of 467947728 in words is "four hundred sixty-seven million, nine hundred forty-seven thousand, seven hundred twenty-eight".