528429138300 has 216 divisors, whose sum is σ = 1928667869856. Its totient is φ = 118504788480.

The previous prime is 528429138283. The next prime is 528429138313. The reversal of 528429138300 is 3831924825.

528429138300 is a `hidden beast` number, since 5 + 28 + 4 + 291 + 38 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457399 + ... + 1125198.

It is an arithmetic number, because the mean of its divisors is an integer number (8929017916).

Almost surely, 2^528429138300 is an apocalyptic number.

528429138300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

528429138300 is an abundant number, since it is smaller than the sum of its proper divisors (1400238731556).

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

528429138300 is a wasteful number, since it uses less digits than its factorization.

528429138300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582677 (or 1582667 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 528429138300 in words is "five hundred twenty-eight billion, four hundred twenty-nine million, one hundred thirty-eight thousand, three hundred".