475028281728 has 2304 divisors, whose sum is σ = 2046317145600. Its totient is φ = 106420469760.

The previous prime is 475028281687. The next prime is 475028281753. The reversal of 475028281728 is 827182820574.

475028281728 is a `hidden beast` number, since 47 + 502 + 8 + 28 + 1 + 72 + 8 = 666.

It is a super-2 number, since 2×475028281728² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6507236700 + ... + 6507236772.

Almost surely, 2^475028281728 is an apocalyptic number.

475028281728 is a gapful number since it is divisible by the number (48) 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 475028281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023158572800).

475028281728 is an abundant number, since it is smaller than the sum of its proper divisors (1571288863872).

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

475028281728 is a wasteful number, since it uses less digits than its factorization.

475028281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 475028281728 in words is "four hundred seventy-five billion, twenty-eight million, two hundred eighty-one thousand, seven hundred twenty-eight".