52928900 has 36 divisors (see below), whose sum is σ = 116815440. Its totient is φ = 20810400.

The previous prime is 52928891. The next prime is 52928921. The reversal of 52928900 is 982925.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1415 + ... + 10385.

Almost surely, 2^52928900 is an apocalyptic number.

52928900 is a gapful number since it is divisible by the number (50) 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 52928900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58407720).

52928900 is an abundant number, since it is smaller than the sum of its proper divisors (63886540).

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

52928900 is a wasteful number, since it uses less digits than its factorization.

52928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 52928900 is about 7275.2250824287. The cubic root of 52928900 is about 375.4605304959.

It can be divided in two parts, 529 and 28900, that multiplied together give a square (15288100 = 3910²).

The spelling of 52928900 in words is "fifty-two million, nine hundred twenty-eight thousand, nine hundred".