53761302928 has 80 divisors (see below), whose sum is σ = 115224165360. Its totient is φ = 24184832000.

The previous prime is 53761302839. The next prime is 53761302929. The reversal of 53761302928 is 82920316735.

It can be written as a sum of positive squares in 8 ways, for example, as 25976413584 + 27784889344 = 161172^2 + 166688^2 .

It is not an unprimeable number, because it can be changed into a prime (53761302929) 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 15 ways as a sum of consecutive naturals, for example, 762948 + ... + 830428.

It is an arithmetic number, because the mean of its divisors is an integer number (1440302067).

Almost surely, 2^53761302928 is an apocalyptic number.

53761302928 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 53761302928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57612082680).

53761302928 is an abundant number, since it is smaller than the sum of its proper divisors (61462862432).

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

53761302928 is a wasteful number, since it uses less digits than its factorization.

53761302928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67636 (or 67630 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 53761302928 in words is "fifty-three billion, seven hundred sixty-one million, three hundred two thousand, nine hundred twenty-eight".