7951825728 has 420 divisors, whose sum is σ = 29627084256. Its totient is φ = 2064268800.

The previous prime is 7951825709. The next prime is 7951825747. The reversal of 7951825728 is 8275281597.

7951825728 is a `hidden beast` number, since 79 + 518 + 2 + 57 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7951825709) and next prime (7951825747).

It is a super-3 number, since 3×7951825728³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4389943 + ... + 4391753.

Almost surely, 2^7951825728 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 7951825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813542128).

7951825728 is an abundant number, since it is smaller than the sum of its proper divisors (21675258528).

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

7951825728 is a wasteful number, since it uses less digits than its factorization.

7951825728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1834 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The square root of 7951825728 is about 89173.0100871334. The cubic root of 7951825728 is about 1995.9773920703.

The spelling of 7951825728 in words is "seven billion, nine hundred fifty-one million, eight hundred twenty-five thousand, seven hundred twenty-eight".