4828132512 has 288 divisors, whose sum is σ = 16345929600. Its totient is φ = 1322625024.

The previous prime is 4828132501. The next prime is 4828132513. The reversal of 4828132512 is 2152318284.

It is a happy number.

4828132512 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 132 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4828132513) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15726663 + ... + 15726969.

It is an arithmetic number, because the mean of its divisors is an integer number (56756700).

Almost surely, 2^4828132512 is an apocalyptic number.

4828132512 is a gapful number since it is divisible by the number (42) 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 4828132512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172964800).

4828132512 is an abundant number, since it is smaller than the sum of its proper divisors (11517797088).

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

4828132512 is a wasteful number, since it uses less digits than its factorization.

4828132512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 4828132512 is about 69484.7646034726. The cubic root of 4828132512 is about 1690.1544519974.

It can be divided in two parts, 4828 and 132512, that multiplied together give a palindrome (639767936).

The spelling of 4828132512 in words is "four billion, eight hundred twenty-eight million, one hundred thirty-two thousand, five hundred twelve".