88248228128 has 96 divisors (see below), whose sum is σ = 179863649280. Its totient is φ = 42594048000.

The previous prime is 88248228127. The next prime is 88248228143. The reversal of 88248228128 is 82182284288.

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 88248228128.

It is not an unprimeable number, because it can be changed into a prime (88248228127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52874078 + ... + 52875746.

It is an arithmetic number, because the mean of its divisors is an integer number (1873579680).

Almost surely, 2^88248228128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88248228128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89931824640).

88248228128 is an abundant number, since it is smaller than the sum of its proper divisors (91615421152).

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

88248228128 is a wasteful number, since it uses less digits than its factorization.

88248228128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2114 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 53.

The spelling of 88248228128 in words is "eighty-eight billion, two hundred forty-eight million, two hundred twenty-eight thousand, one hundred twenty-eight".