7928289600 has 672 divisors, whose sum is σ = 34166860800. Its totient is φ = 1559347200.

The previous prime is 7928289559. The next prime is 7928289601. The reversal of 7928289600 is 69828297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7928289601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7021836 + ... + 7022964.

Almost surely, 2^7928289600 is an apocalyptic number.

7928289600 is a gapful number since it is divisible by the number (70) 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 7928289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17083430400).

7928289600 is an abundant number, since it is smaller than the sum of its proper divisors (26238571200).

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

7928289600 is a wasteful number, since it uses less digits than its factorization.

7928289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1176 counting only the distinct ones).

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

The square root of 7928289600 is about 89040.9433912287. The cubic root of 7928289600 is about 1994.0061883889.

The spelling of 7928289600 in words is "seven billion, nine hundred twenty-eight million, two hundred eighty-nine thousand, six hundred".