147828096 has 96 divisors (see below), whose sum is σ = 458159520. Its totient is φ = 45480960.

The previous prime is 147828091. The next prime is 147828101. The reversal of 147828096 is 690828741.

It is an interprime number because it is at equal distance from previous prime (147828091) and next prime (147828101).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147828091) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10041 + ... + 19911.

It is an arithmetic number, because the mean of its divisors is an integer number (4772495).

Almost surely, 2^147828096 is an apocalyptic number.

147828096 is a gapful number since it is divisible by the number (16) 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 147828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229079760).

147828096 is an abundant number, since it is smaller than the sum of its proper divisors (310331424).

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

147828096 is a wasteful number, since it uses less digits than its factorization.

147828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904 (or 9889 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 147828096 is about 12158.4577969412. The cubic root of 147828096 is about 528.7523709298.

The spelling of 147828096 in words is "one hundred forty-seven million, eight hundred twenty-eight thousand, ninety-six".