53928840 has 256 divisors, whose sum is σ = 202752000. Its totient is φ = 11197440.

The previous prime is 53928839. The next prime is 53928841. The reversal of 53928840 is 4882935.

It is a happy number.

53928840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53928839) and next prime (53928841).

It is not an unprimeable number, because it can be changed into a prime (53928841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 494706 + ... + 494814.

It is an arithmetic number, because the mean of its divisors is an integer number (792000).

Almost surely, 2^53928840 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 53928840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101376000).

53928840 is an abundant number, since it is smaller than the sum of its proper divisors (148823160).

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

53928840 is a wasteful number, since it uses less digits than its factorization.

53928840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 53928840 is about 7343.6258074605. The cubic root of 53928840 is about 377.8102123889.

The spelling of 53928840 in words is "fifty-three million, nine hundred twenty-eight thousand, eight hundred forty".