7087967328 has 192 divisors, whose sum is σ = 21178160640. Its totient is φ = 2057674752.

The previous prime is 7087967303. The next prime is 7087967363. The reversal of 7087967328 is 8237697807.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7990501 + ... + 7991387.

It is an arithmetic number, because the mean of its divisors is an integer number (110302920).

Almost surely, 2^7087967328 is an apocalyptic number.

7087967328 is a gapful number since it is divisible by the number (78) 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 7087967328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10589080320).

7087967328 is an abundant number, since it is smaller than the sum of its proper divisors (14090193312).

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

7087967328 is a wasteful number, since it uses less digits than its factorization.

7087967328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The square root of 7087967328 is about 84190.0666824775. The cubic root of 7087967328 is about 1920.9109652835.

The spelling of 7087967328 in words is "seven billion, eighty-seven million, nine hundred sixty-seven thousand, three hundred twenty-eight".