53728920 has 320 divisors, whose sum is σ = 217451520. Its totient is φ = 11632896.

The previous prime is 53728907. The next prime is 53728933. The reversal of 53728920 is 2982735.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53728907) and next prime (53728933).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 521589 + ... + 521691.

It is an arithmetic number, because the mean of its divisors is an integer number (679536).

Almost surely, 2^53728920 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 53728920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108725760).

53728920 is an abundant number, since it is smaller than the sum of its proper divisors (163722600).

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

53728920 is a wasteful number, since it uses less digits than its factorization.

53728920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53728920 is about 7330.0013642564. The cubic root of 53728920 is about 377.3427732894.

The spelling of 53728920 in words is "fifty-three million, seven hundred twenty-eight thousand, nine hundred twenty".