28343632128 has 360 divisors, whose sum is σ = 92748952800. Its totient is φ = 7662477312.

The previous prime is 28343632099. The next prime is 28343632129. The reversal of 28343632128 is 82123634382.

It is a super-2 number, since 2×28343632128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28343632128.

It is not an unprimeable number, because it can be changed into a prime (28343632129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35034988 + ... + 35035796.

It is an arithmetic number, because the mean of its divisors is an integer number (257635980).

Almost surely, 2^28343632128 is an apocalyptic number.

28343632128 is a gapful number since it is divisible by the number (28) 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 28343632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46374476400).

28343632128 is an abundant number, since it is smaller than the sum of its proper divisors (64405320672).

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

28343632128 is an frugal number, since it uses more digits than its factorization.

28343632128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 840 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 28343632128 in words is "twenty-eight billion, three hundred forty-three million, six hundred thirty-two thousand, one hundred twenty-eight".