29838928100004 has 81 divisors (see below), whose sum is σ = 76174199973963. Its totient is φ = 9848628905904.

The previous prime is 29838928099997. The next prime is 29838928100011. The reversal of 29838928100004 is 40000182983892.

The square root of 29838928100004 is 5462502.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (29838928099997) and next prime (29838928100011).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3375821817 + ... + 3375830655.

Almost surely, 2^{29838928100004} is an apocalyptic number.

29838928100004 is the 5462502-nd square number.

It is an amenable number.

29838928100004 is an abundant number, since it is smaller than the sum of its proper divisors (46335271873959).

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

29838928100004 is an frugal number, since it uses more digits than its factorization.

29838928100004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17894 (or 8947 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 29838928100004 in words is "twenty-nine trillion, eight hundred thirty-eight billion, nine hundred twenty-eight million, one hundred thousand, four".