10095828484 has 27 divisors (see below), whose sum is σ = 20555086293. Its totient is φ = 4326180768.

The previous prime is 10095828461. The next prime is 10095828503. The reversal of 10095828484 is 48482859001.

The square root of 10095828484 is 100478.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9426468100 + 669360384 = 97090^2 + 25872^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1403104 + ... + 1410280.

Almost surely, 2^10095828484 is an apocalyptic number.

10095828484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10095828484 is the 100478-th square number.

It is an amenable number.

10095828484 is an abundant number, since it is smaller than the sum of its proper divisors (10459257809).

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

10095828484 is an frugal number, since it uses more digits than its factorization.

10095828484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14372 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

Multiplying 10095828484 by its sum of digits (49), we get a square (494695595716 = 703346²).

10095828484 divided by its sum of digits (49) gives a square (206037316 = 14354²).

The spelling of 10095828484 in words is "ten billion, ninety-five million, eight hundred twenty-eight thousand, four hundred eighty-four".