1273828590 has 96 divisors (see below), whose sum is σ = 3571495200. Its totient is φ = 313943040.

The previous prime is 1273828579. The next prime is 1273828607. The reversal of 1273828590 is 958283721.

It is a happy number.

1273828590 is a `hidden beast` number, since 1 + 2 + 7 + 38 + 28 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61026 + ... + 79194.

It is an arithmetic number, because the mean of its divisors is an integer number (37203075).

Almost surely, 2^1273828590 is an apocalyptic number.

1273828590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1273828590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785747600).

1273828590 is an abundant number, since it is smaller than the sum of its proper divisors (2297666610).

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

1273828590 is a wasteful number, since it uses less digits than its factorization.

1273828590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18242 (or 18239 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1273828590 is about 35690.7353524693. The cubic root of 1273828590 is about 1084.0192571798.

It can be divided in two parts, 12738 and 28590, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 1273828590 in words is "one billion, two hundred seventy-three million, eight hundred twenty-eight thousand, five hundred ninety".