467152128 has 54 divisors (see below), whose sum is σ = 1346921394. Its totient is φ = 155716608.

The previous prime is 467152111. The next prime is 467152139. The reversal of 467152128 is 821251764.

467152128 is a `hidden beast` number, since 46 + 71 + 521 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 464488704 + 2663424 = 21552^2 + 1632^2 .

It is a super-2 number, since 2×467152128² = 436462221389856768, which contains 22 as substring.

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 = 467152092 and 467152101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99075 + ... + 103682.

Almost surely, 2^467152128 is an apocalyptic number.

467152128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

467152128 is an abundant number, since it is smaller than the sum of its proper divisors (879769266).

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

467152128 is a wasteful number, since it uses less digits than its factorization.

467152128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202779 (or 202762 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 467152128 is about 21613.7023205188. The cubic root of 467152128 is about 775.9244621268.

The spelling of 467152128 in words is "four hundred sixty-seven million, one hundred fifty-two thousand, one hundred twenty-eight".