428166973044 has 72 divisors (see below), whose sum is σ = 1146068993160. Its totient is φ = 134316029952.

The previous prime is 428166972977. The next prime is 428166973051. The reversal of 428166973044 is 440379661824.

428166973044 is a `hidden beast` number, since 428 + 1 + 66 + 97 + 30 + 44 = 666.

428166973044 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11189408400 + 416977564644 = 105780^2 + 645738^2 .

It is a super-2 number, since 2×428166973044² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11151672 + ... + 11190000.

It is an arithmetic number, because the mean of its divisors is an integer number (15917624905).

Almost surely, 2^428166973044 is an apocalyptic number.

It is an amenable number.

428166973044 is an abundant number, since it is smaller than the sum of its proper divisors (717902020116).

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

428166973044 is a wasteful number, since it uses less digits than its factorization.

428166973044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56609 (or 56604 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 428166973044 in words is "four hundred twenty-eight billion, one hundred sixty-six million, nine hundred seventy-three thousand, forty-four".