83788848 has 180 divisors, whose sum is σ = 277886232. Its totient is φ = 23362560.

The previous prime is 83788847. The next prime is 83788883. The reversal of 83788848 is 84888738.

It is a junction number, because it is equal to n+sod(n) for n = 83788794 and 83788803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83788847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267540 + ... + 267852.

Almost surely, 2^83788848 is an apocalyptic number.

83788848 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 83788848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138943116).

83788848 is an abundant number, since it is smaller than the sum of its proper divisors (194097384).

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

83788848 is a wasteful number, since it uses less digits than its factorization.

83788848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 83788848 is about 9153.6248557607. The cubic root of 83788848 is about 437.5846440853.

The spelling of 83788848 in words is "eighty-three million, seven hundred eighty-eight thousand, eight hundred forty-eight".