428177061 has 24 divisors (see below), whose sum is σ = 684061560. Its totient is φ = 256369536.

The previous prime is 428177059. The next prime is 428177069. The reversal of 428177061 is 160771824.

428177061 is a `hidden beast` number, since 428 + 177 + 0 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 156125025 + 272052036 = 12495^2 + 16494^2 .

It is not a de Polignac number, because 428177061 - 2¹ = 428177059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428177069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45126 + ... + 53783.

It is an arithmetic number, because the mean of its divisors is an integer number (28502565).

Almost surely, 2^428177061 is an apocalyptic number.

It is an amenable number.

428177061 is a deficient number, since it is larger than the sum of its proper divisors (255884499).

428177061 is a wasteful number, since it uses less digits than its factorization.

428177061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98965 (or 98962 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 428177061 is about 20692.4397063275. The cubic root of 428177061 is about 753.7161116089.

It can be divided in two parts, 4281 and 77061, that multiplied together give a triangular number (329898141 = T₂₅₆₈₆).

The spelling of 428177061 in words is "four hundred twenty-eight million, one hundred seventy-seven thousand, sixty-one".