53406828 has 72 divisors (see below), whose sum is σ = 143646048. Its totient is φ = 16693248.

The previous prime is 53406827. The next prime is 53406841. The reversal of 53406828 is 82860435.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53406792 and 53406801.

It is not an unprimeable number, because it can be changed into a prime (53406823) 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, 43276 + ... + 44492.

It is an arithmetic number, because the mean of its divisors is an integer number (1995084).

Almost surely, 2^53406828 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 53406828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71823024).

53406828 is an abundant number, since it is smaller than the sum of its proper divisors (90239220).

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

53406828 is a wasteful number, since it uses less digits than its factorization.

53406828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53406828 is about 7307.9975369454. The cubic root of 53406828 is about 376.5872350148.

Adding to 53406828 its sum of digits (36), we get a square (53406864 = 7308²).

The spelling of 53406828 in words is "fifty-three million, four hundred six thousand, eight hundred twenty-eight".