53784328 has 64 divisors (see below), whose sum is σ = 119070000. Its totient is φ = 22536192.

The previous prime is 53784323. The next prime is 53784329. The reversal of 53784328 is 82348735.

It can be written as a sum of positive squares in 8 ways, for example, as 37478884 + 16305444 = 6122^2 + 4038^2 .

It is not an unprimeable number, because it can be changed into a prime (53784323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50748 + ... + 51796.

Almost surely, 2^53784328 is an apocalyptic number.

53784328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53784328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59535000).

53784328 is an abundant number, since it is smaller than the sum of its proper divisors (65285672).

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

53784328 is a wasteful number, since it uses less digits than its factorization.

53784328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 53784328 is about 7333.7799257954. The cubic root of 53784328 is about 377.4724404248.

The spelling of 53784328 in words is "fifty-three million, seven hundred eighty-four thousand, three hundred twenty-eight".