48456828 has 72 divisors (see below), whose sum is σ = 143797472. Its totient is φ = 13468032.

The previous prime is 48456823. The next prime is 48456841. The reversal of 48456828 is 82865484.

48456828 is a `hidden beast` number, since 4 + 84 + 568 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48456823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6726 + ... + 11922.

Almost surely, 2^48456828 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 48456828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71898736).

48456828 is an abundant number, since it is smaller than the sum of its proper divisors (95340644).

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

48456828 is a wasteful number, since it uses less digits than its factorization.

48456828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251 (or 5246 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 48456828 is about 6961.0938795566. The cubic root of 48456828 is about 364.5734129313.

It can be divided in two parts, 48456 and 828, that added together give a square (49284 = 222²).

The spelling of 48456828 in words is "forty-eight million, four hundred fifty-six thousand, eight hundred twenty-eight".