7025977728 has 384 divisors, whose sum is σ = 25484659200. Its totient is φ = 1804861440.

The previous prime is 7025977727. The next prime is 7025977729. The reversal of 7025977728 is 8277795207.

It is an interprime number because it is at equal distance from previous prime (7025977727) and next prime (7025977729).

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 (7025977727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9136128 + ... + 9136896.

It is an arithmetic number, because the mean of its divisors is an integer number (66366300).

Almost surely, 2^7025977728 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 7025977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742329600).

7025977728 is an abundant number, since it is smaller than the sum of its proper divisors (18458681472).

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

7025977728 is a wasteful number, since it uses less digits than its factorization.

7025977728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The square root of 7025977728 is about 83821.1055045208. The cubic root of 7025977728 is about 1915.2946237087.

The spelling of 7025977728 in words is "seven billion, twenty-five million, nine hundred seventy-seven thousand, seven hundred twenty-eight".