428266406760192 has 5184 divisors, whose sum is σ = 1821044109620736. Its totient is φ = 98603402526720.

The previous prime is 428266406760139. The next prime is 428266406760209. The reversal of 428266406760192 is 291067604662824.

It is a happy number.

428266406760192 is a `hidden beast` number, since 4 + 2 + 82 + 6 + 6 + 406 + 7 + 60 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1368263280228 + ... + 1368263280540.

Almost surely, 2^{428266406760192} is an apocalyptic number.

428266406760192 is a gapful number since it is divisible by the number (42) 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 428266406760192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910522054810368).

428266406760192 is an abundant number, since it is smaller than the sum of its proper divisors (1392777702860544).

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

428266406760192 is a wasteful number, since it uses less digits than its factorization.

428266406760192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 428266406760192 in words is "four hundred twenty-eight trillion, two hundred sixty-six billion, four hundred six million, seven hundred sixty thousand, one hundred ninety-two".