93778048 has 128 divisors (see below), whose sum is σ = 235105920. Its totient is φ = 36274176.

The previous prime is 93778043. The next prime is 93778049. The reversal of 93778048 is 84087739.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 93777989 and 93778007.

It is not an unprimeable number, because it can be changed into a prime (93778043) 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 15 ways as a sum of consecutive naturals, for example, 966736 + ... + 966832.

It is an arithmetic number, because the mean of its divisors is an integer number (1836765).

Almost surely, 2^93778048 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 93778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117552960).

93778048 is an abundant number, since it is smaller than the sum of its proper divisors (141327872).

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

93778048 is a wasteful number, since it uses less digits than its factorization.

93778048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 93778048 is about 9683.9066496946. The cubic root of 93778048 is about 454.3254473338.

The spelling of 93778048 in words is "ninety-three million, seven hundred seventy-eight thousand, forty-eight".