87788448 has 120 divisors (see below), whose sum is σ = 281746080. Its totient is φ = 26593920.

The previous prime is 87788429. The next prime is 87788453. The reversal of 87788448 is 84488778.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 87788394 and 87788403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26973 + ... + 30051.

It is an arithmetic number, because the mean of its divisors is an integer number (2347884).

Almost surely, 2^87788448 is an apocalyptic number.

87788448 is a gapful number since it is divisible by the number (88) 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 87788448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140873040).

87788448 is an abundant number, since it is smaller than the sum of its proper divisors (193957632).

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

87788448 is a wasteful number, since it uses less digits than its factorization.

87788448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3095 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 87788448 is about 9369.5489752709. The cubic root of 87788448 is about 444.4393022368.

The spelling of 87788448 in words is "eighty-seven million, seven hundred eighty-eight thousand, four hundred forty-eight".