53740128 has 144 divisors (see below), whose sum is σ = 162464400. Its totient is φ = 15458304.

The previous prime is 53740123. The next prime is 53740139. The reversal of 53740128 is 82104735.

It is a junction number, because it is equal to n+sod(n) for n = 53740095 and 53740104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53740123) 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, 360598 + ... + 360746.

It is an arithmetic number, because the mean of its divisors is an integer number (1128225).

Almost surely, 2^53740128 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 53740128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81232200).

53740128 is an abundant number, since it is smaller than the sum of its proper divisors (108724272).

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

53740128 is a wasteful number, since it uses less digits than its factorization.

53740128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 53740128 is about 7330.7658535790. The cubic root of 53740128 is about 377.3690097108.

The spelling of 53740128 in words is "fifty-three million, seven hundred forty thousand, one hundred twenty-eight".