189128527488 has 384 divisors, whose sum is σ = 589225178880. Its totient is φ = 58071416832.

The previous prime is 189128527463. The next prime is 189128527493. The reversal of 189128527488 is 884725821981.

189128527488 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 28 + 527 + 4 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100975320 + ... + 100977192.

It is an arithmetic number, because the mean of its divisors is an integer number (1534440570).

Almost surely, 2^189128527488 is an apocalyptic number.

189128527488 is a gapful number since it is divisible by the number (18) 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 189128527488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294612589440).

189128527488 is an abundant number, since it is smaller than the sum of its proper divisors (400096651392).

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

189128527488 is a wasteful number, since it uses less digits than its factorization.

189128527488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2041 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 63.

The spelling of 189128527488 in words is "one hundred eighty-nine billion, one hundred twenty-eight million, five hundred twenty-seven thousand, four hundred eighty-eight".