472123728 has 140 divisors (see below), whose sum is σ = 1452767508. Its totient is φ = 148055040.

The previous prime is 472123727. The next prime is 472123759. The reversal of 472123728 is 827321274.

It can be written as a sum of positive squares in 2 ways, for example, as 131056704 + 341067024 = 11448^2 + 18468^2 .

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 = 472123692 and 472123701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472123727) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 197098 + ... + 199478.

Almost surely, 2^472123728 is an apocalyptic number.

472123728 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 472123728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726383754).

472123728 is an abundant number, since it is smaller than the sum of its proper divisors (980643780).

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

472123728 is a wasteful number, since it uses less digits than its factorization.

472123728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2403 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 472123728 is about 21728.4083172238. The cubic root of 472123728 is about 778.6673100926.

The spelling of 472123728 in words is "four hundred seventy-two million, one hundred twenty-three thousand, seven hundred twenty-eight".