1292328928436 has 72 divisors (see below), whose sum is σ = 2849011492320. Its totient is φ = 508394674368.

The previous prime is 1292328928433. The next prime is 1292328928439. The reversal of 1292328928436 is 6348298232921.

It is an interprime number because it is at equal distance from previous prime (1292328928433) and next prime (1292328928439).

It is a super-3 number, since 3×1292328928436³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292328928433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 960650 + ... + 1872833.

It is an arithmetic number, because the mean of its divisors is an integer number (39569604060).

Almost surely, 2^{1292328928436} is an apocalyptic number.

It is an amenable number.

1292328928436 is an abundant number, since it is smaller than the sum of its proper divisors (1556682563884).

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

1292328928436 is a wasteful number, since it uses less digits than its factorization.

1292328928436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833693 (or 2833684 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 59.

The spelling of 1292328928436 in words is "one trillion, two hundred ninety-two billion, three hundred twenty-eight million, nine hundred twenty-eight thousand, four hundred thirty-six".