7289132928 has 384 divisors, whose sum is σ = 24735701760. Its totient is φ = 1861263360.

The previous prime is 7289132923. The next prime is 7289132953. The reversal of 7289132928 is 8292319827.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7289132923) 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, 23742951 + ... + 23743257.

It is an arithmetic number, because the mean of its divisors is an integer number (64415890).

Almost surely, 2^7289132928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7289132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12367850880).

7289132928 is an abundant number, since it is smaller than the sum of its proper divisors (17446568832).

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

7289132928 is a wasteful number, since it uses less digits than its factorization.

7289132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 403 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 7289132928 is about 85376.4190394514. The cubic root of 7289132928 is about 1938.9143434953.

The spelling of 7289132928 in words is "seven billion, two hundred eighty-nine million, one hundred thirty-two thousand, nine hundred twenty-eight".