7828532712 has 576 divisors, whose sum is σ = 29759184000. Its totient is φ = 1864373760.

The previous prime is 7828532689. The next prime is 7828532753. The reversal of 7828532712 is 2172358287.

It is a super-2 number, since 2×7828532712² (a number of 21 digits) contains 22 as substring.

Its product of digits (376320) is a multiple of the sum of its prime factors (210).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52540414 + ... + 52540562.

It is an arithmetic number, because the mean of its divisors is an integer number (51665250).

Almost surely, 2^7828532712 is an apocalyptic number.

7828532712 is a gapful number since it is divisible by the number (72) 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 7828532712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879592000).

7828532712 is an abundant number, since it is smaller than the sum of its proper divisors (21930651288).

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

7828532712 is a wasteful number, since it uses less digits than its factorization.

7828532712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 7828532712 is about 88478.9958803783. The cubic root of 7828532712 is about 1985.6077391786.

The spelling of 7828532712 in words is "seven billion, eight hundred twenty-eight million, five hundred thirty-two thousand, seven hundred twelve".