152828524710 has 384 divisors, whose sum is σ = 438835138560. Its totient is φ = 38211264000.

The previous prime is 152828524699. The next prime is 152828524727. The reversal of 152828524710 is 17425828251.

152828524710 is a `hidden beast` number, since 1 + 52 + 8 + 2 + 8 + 524 + 71 + 0 = 666.

It is a super-3 number, since 3×152828524710³ (a number of 35 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 403241301 + ... + 403241679.

It is an arithmetic number, because the mean of its divisors is an integer number (1142799840).

Almost surely, 2^152828524710 is an apocalyptic number.

152828524710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152828524710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219417569280).

152828524710 is an abundant number, since it is smaller than the sum of its proper divisors (286006613850).

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

152828524710 is a wasteful number, since it uses less digits than its factorization.

152828524710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 152828524710 in words is "one hundred fifty-two billion, eight hundred twenty-eight million, five hundred twenty-four thousand, seven hundred ten".