472332528288 has 384 divisors, whose sum is σ = 1513655942400. Its totient is φ = 142763212800.

The previous prime is 472332528281. The next prime is 472332528319. The reversal of 472332528288 is 882825233274.

472332528288 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 32 + 528 + 2 + 88 = 666.

It is a super-4 number, since 4×472332528288⁴ (a number of 48 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (472332528281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35665348 + ... + 35678588.

It is an arithmetic number, because the mean of its divisors is an integer number (3941812350).

Almost surely, 2^472332528288 is an apocalyptic number.

472332528288 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 472332528288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756827971200).

472332528288 is an abundant number, since it is smaller than the sum of its proper divisors (1041323414112).

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

472332528288 is a wasteful number, since it uses less digits than its factorization.

472332528288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13373 (or 13359 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 472332528288 in words is "four hundred seventy-two billion, three hundred thirty-two million, five hundred twenty-eight thousand, two hundred eighty-eight".