428956555401 has 48 divisors (see below), whose sum is σ = 716351283648. Its totient is φ = 244455782400.

The previous prime is 428956555393. The next prime is 428956555457. The reversal of 428956555401 is 104555659824.

428956555401 is a `hidden beast` number, since 4 + 2 + 8 + 95 + 6 + 5 + 5 + 540 + 1 = 666.

It is not a de Polignac number, because 428956555401 - 2³ = 428956555393 is a prime.

It is a super-3 number, since 3×428956555401³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (428956555901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1719345 + ... + 1952961.

It is an arithmetic number, because the mean of its divisors is an integer number (14923985076).

Almost surely, 2^428956555401 is an apocalyptic number.

It is an amenable number.

428956555401 is a deficient number, since it is larger than the sum of its proper divisors (287394728247).

428956555401 is a wasteful number, since it uses less digits than its factorization.

428956555401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234742 (or 234739 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 428956555401 in words is "four hundred twenty-eight billion, nine hundred fifty-six million, five hundred fifty-five thousand, four hundred one".