1828272729201 has 16 divisors (see below), whose sum is σ = 2439135755520. Its totient is φ = 1218129319440.

The previous prime is 1828272729193. The next prime is 1828272729209. The reversal of 1828272729201 is 1029272728281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1828272729193) and next prime (1828272729209).

It is not a de Polignac number, because 1828272729201 - 2³ = 1828272729193 is a prime.

It is a super-3 number, since 3×1828272729201³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1828272729209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37157346 + ... + 37206516.

It is an arithmetic number, because the mean of its divisors is an integer number (152445984720).

Almost surely, 2^{1828272729201} is an apocalyptic number.

It is an amenable number.

1828272729201 is a deficient number, since it is larger than the sum of its proper divisors (610863026319).

1828272729201 is a wasteful number, since it uses less digits than its factorization.

1828272729201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56236.

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 1828272729201 in words is "one trillion, eight hundred twenty-eight billion, two hundred seventy-two million, seven hundred twenty-nine thousand, two hundred one".