52967628 has 72 divisors (see below), whose sum is σ = 159759600. Its totient is φ = 15132096.

The previous prime is 52967627. The next prime is 52967639. The reversal of 52967628 is 82676925.

52967628 is a `hidden beast` number, since 529 + 67 + 62 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (52967627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288 + ... + 10296.

Almost surely, 2^52967628 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 52967628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79879800).

52967628 is an abundant number, since it is smaller than the sum of its proper divisors (106791972).

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

52967628 is a wasteful number, since it uses less digits than its factorization.

52967628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036 (or 10021 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 52967628 is about 7277.8862315922. The cubic root of 52967628 is about 375.5520828133.

The spelling of 52967628 in words is "fifty-two million, nine hundred sixty-seven thousand, six hundred twenty-eight".