48788784 has 80 divisors (see below), whose sum is σ = 152787840. Its totient is φ = 14783040.

The previous prime is 48788783. The next prime is 48788807.

It is a happy number.

48788784 is a `hidden beast` number, since 487 + 8 + 87 + 84 = 666.

48788784 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48788784.

It is not an unprimeable number, because it can be changed into a prime (48788783) 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, 382 + ... + 9885.

It is an arithmetic number, because the mean of its divisors is an integer number (1909848).

Almost surely, 2^48788784 is an apocalyptic number.

48788784 is a gapful number since it is divisible by the number (44) 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 48788784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76393920).

48788784 is an abundant number, since it is smaller than the sum of its proper divisors (103999056).

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

48788784 is a wasteful number, since it uses less digits than its factorization.

48788784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10295 (or 10283 counting only the distinct ones).

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

The square root of 48788784 is about 6984.8968496321. The cubic root of 48788784 is about 365.4040287411.

The spelling of 48788784 in words is "forty-eight million, seven hundred eighty-eight thousand, seven hundred eighty-four".