53461128 has 64 divisors (see below), whose sum is σ = 153538560. Its totient is φ = 15195456.

The previous prime is 53461127. The next prime is 53461129. The reversal of 53461128 is 82116435.

It is an interprime number because it is at equal distance from previous prime (53461127) and next prime (53461129).

It is a junction number, because it is equal to n+sod(n) for n = 53461095 and 53461104.

It is not an unprimeable number, because it can be changed into a prime (53461127) 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, 36751 + ... + 38177.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 2^53461128 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 53461128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769280).

53461128 is an abundant number, since it is smaller than the sum of its proper divisors (100077432).

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

53461128 is a wasteful number, since it uses less digits than its factorization.

53461128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1662 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 53461128 is about 7311.7117010998. The cubic root of 53461128 is about 376.7148202027.

The spelling of 53461128 in words is "fifty-three million, four hundred sixty-one thousand, one hundred twenty-eight".