1006331629428 has 18 divisors (see below), whose sum is σ = 2543782730034. Its totient is φ = 335443876464.

The previous prime is 1006331629423. The next prime is 1006331629469. The reversal of 1006331629428 is 8249261336001.

1006331629428 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 331 + 6 + 294 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 944515747044 + 61815882384 = 971862^2 + 248628^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006331629421) 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 5 ways as a sum of consecutive naturals, for example, 13976828151 + ... + 13976828222.

Almost surely, 2^{1006331629428} is an apocalyptic number.

1006331629428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1006331629428 is an abundant number, since it is smaller than the sum of its proper divisors (1537451100606).

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

1006331629428 is a wasteful number, since it uses less digits than its factorization.

1006331629428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27953656383 (or 27953656378 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1006331629428 in words is "one trillion, six billion, three hundred thirty-one million, six hundred twenty-nine thousand, four hundred twenty-eight".