35428274176 has 117 divisors (see below), whose sum is σ = 75698117611. Its totient is φ = 16575758336.

The previous prime is 35428274173. The next prime is 35428274177. The reversal of 35428274176 is 67147282453.

The square root of 35428274176 is 188224.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17364914176 + 18063360000 = 131776^2 + 134400^2 .

It is a super-2 number, since 2×35428274176² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (2257920) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (35428274173) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 204787626 + ... + 204787798.

Almost surely, 2^35428274176 is an apocalyptic number.

35428274176 is the 188224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35428274176

35428274176 is an abundant number, since it is smaller than the sum of its proper divisors (40269843435).

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

35428274176 is an frugal number, since it uses more digits than its factorization.

35428274176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 192 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 49.

Multiplying 35428274176 by its sum of digits (49), we get a square (1735985434624 = 1317568²).

The spelling of 35428274176 in words is "thirty-five billion, four hundred twenty-eight million, two hundred seventy-four thousand, one hundred seventy-six".