32268287520 has 1200 divisors, whose sum is σ = 142973146008. Its totient is φ = 6827950080.

The previous prime is 32268287507. The next prime is 32268287521. The reversal of 32268287520 is 2578286223.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21436473744 + 10831813776 = 146412^2 + 104076^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32268287521) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 528988290 + ... + 528988350.

Almost surely, 2^32268287520 is an apocalyptic number.

32268287520 is a gapful number since it is divisible by the number (30) 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 32268287520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71486573004).

32268287520 is an abundant number, since it is smaller than the sum of its proper divisors (110704858488).

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

32268287520 is an equidigital number, since it uses as much as digits as its factorization.

32268287520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 32268287520 in words is "thirty-two billion, two hundred sixty-eight million, two hundred eighty-seven thousand, five hundred twenty".