7661052828 has 144 divisors (see below), whose sum is σ = 23235803136. Its totient is φ = 2097290880.

The previous prime is 7661052823. The next prime is 7661052857. The reversal of 7661052828 is 8282501667.

7661052828 is a `hidden beast` number, since 7 + 6 + 610 + 5 + 2 + 8 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7661052823) 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, 226125 + ... + 257787.

It is an arithmetic number, because the mean of its divisors is an integer number (161359744).

Almost surely, 2^7661052828 is an apocalyptic number.

7661052828 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 7661052828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11617901568).

7661052828 is an abundant number, since it is smaller than the sum of its proper divisors (15574750308).

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

7661052828 is a wasteful number, since it uses less digits than its factorization.

7661052828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31744 (or 31739 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 7661052828 is about 87527.4404287021. The cubic root of 7661052828 is about 1971.3458322373.

The spelling of 7661052828 in words is "seven billion, six hundred sixty-one million, fifty-two thousand, eight hundred twenty-eight".