52029648 has 80 divisors (see below), whose sum is σ = 162936000. Its totient is φ = 15765120.

The previous prime is 52029641. The next prime is 52029661. The reversal of 52029648 is 84692025.

It is a happy number.

52029648 is a `hidden beast` number, since 5 + 2 + 0 + 2 + 9 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52029641) 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, 723 + ... + 10226.

It is an arithmetic number, because the mean of its divisors is an integer number (2036700).

Almost surely, 2^52029648 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 52029648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81468000).

52029648 is an abundant number, since it is smaller than the sum of its proper divisors (110906352).

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

52029648 is a wasteful number, since it uses less digits than its factorization.

52029648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10977 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52029648 is about 7213.1579769197. The cubic root of 52029648 is about 373.3220390574.

The spelling of 52029648 in words is "fifty-two million, twenty-nine thousand, six hundred forty-eight".