65928020 has 48 divisors (see below), whose sum is σ = 144199440. Its totient is φ = 25288704.

The previous prime is 65928019. The next prime is 65928029. The reversal of 65928020 is 2082956.

It can be written as a sum of positive squares in 8 ways, for example, as 21864976 + 44063044 = 4676^2 + 6638^2 .

It is a super-4 number, since 4×65928020⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65928029) 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, 113972 + ... + 114548.

It is an arithmetic number, because the mean of its divisors is an integer number (3004155).

Almost surely, 2^65928020 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 65928020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72099720).

65928020 is an abundant number, since it is smaller than the sum of its proper divisors (78271420).

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

65928020 is a wasteful number, since it uses less digits than its factorization.

65928020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 65928020 is about 8119.6071333532. The cubic root of 65928020 is about 403.9770352597.

The spelling of 65928020 in words is "sixty-five million, nine hundred twenty-eight thousand, twenty".