88827648 has 288 divisors, whose sum is σ = 307679232. Its totient is φ = 22118400.

The previous prime is 88827643. The next prime is 88827659. The reversal of 88827648 is 84672888.

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 88827648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88827643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166508 + ... + 2166548.

Almost surely, 2^88827648 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 88827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153839616).

88827648 is an abundant number, since it is smaller than the sum of its proper divisors (218851584).

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

88827648 is a wasteful number, since it uses less digits than its factorization.

88827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 88827648 is about 9424.8420676423. The cubic root of 88827648 is about 446.1861181693.

The spelling of 88827648 in words is "eighty-eight million, eight hundred twenty-seven thousand, six hundred forty-eight".