28993335626116 has 243 divisors, whose sum is σ = 57603064707279. Its totient is φ = 12765767809536.

The previous prime is 28993335626089. The next prime is 28993335626117. The reversal of 28993335626116 is 61162653339982.

The square root of 28993335626116 is 5384546.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2865944268100 + 26127391358016 = 1692910^2 + 5111496^2 .

It is a super-2 number, since 2×28993335626116² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28993335626117) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 228293981245 + ... + 228293981371.

Almost surely, 2^{28993335626116} is an apocalyptic number.

28993335626116 is the 5384546-th square number.

It is an amenable number.

28993335626116 is a deficient number, since it is larger than the sum of its proper divisors (28609729081163).

28993335626116 is a wasteful number, since it uses less digits than its factorization.

28993335626116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 64.

It can be divided in two parts, 289933 and 35626116, that added together give a square (35916049 = 5993²).

The spelling of 28993335626116 in words is "twenty-eight trillion, nine hundred ninety-three billion, three hundred thirty-five million, six hundred twenty-six thousand, one hundred sixteen".