10052628352 has 64 divisors (see below), whose sum is σ = 21695461200. Its totient is φ = 4639544832.

The previous prime is 10052628347. The next prime is 10052628359. The reversal of 10052628352 is 25382625001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052628359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263343 + ... + 299089.

Almost surely, 2^10052628352 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 10052628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10847730600).

10052628352 is an abundant number, since it is smaller than the sum of its proper divisors (11642832848).

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

10052628352 is an frugal number, since it uses more digits than its factorization.

10052628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35800 (or 35762 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 10052628352 in words is "ten billion, fifty-two million, six hundred twenty-eight thousand, three hundred fifty-two".