1628888900265 has 24 divisors (see below), whose sum is σ = 3080080830528. Its totient is φ = 789764315040.

The previous prime is 1628888900237. The next prime is 1628888900293. The reversal of 1628888900265 is 5620098888261.

1628888900265 is a `hidden beast` number, since 1 + 6 + 288 + 8 + 8 + 90 + 0 + 265 = 666.

It is an interprime number because it is at equal distance from previous prime (1628888900237) and next prime (1628888900293).

It is not a de Polignac number, because 1628888900265 - 2⁶ = 1628888900201 is a prime.

It is a super-2 number, since 2×1628888900265² (a number of 25 digits) contains 22 as substring.

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, 1645341829 + ... + 1645342818.

It is an arithmetic number, because the mean of its divisors is an integer number (128336701272).

Almost surely, 2^{1628888900265} is an apocalyptic number.

1628888900265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1628888900265 is a deficient number, since it is larger than the sum of its proper divisors (1451191930263).

1628888900265 is a wasteful number, since it uses less digits than its factorization.

1628888900265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290684669 (or 3290684666 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

It can be divided in two parts, 162888 and 8900265, that added together give a triangular number (9063153 = T₄₂₅₇).

The spelling of 1628888900265 in words is "one trillion, six hundred twenty-eight billion, eight hundred eighty-eight million, nine hundred thousand, two hundred sixty-five".