28148309028004 has 81 divisors (see below), whose sum is σ = 54379067724513. Its totient is φ = 12739561797600.

The previous prime is 28148309027989. The next prime is 28148309028019. The reversal of 28148309028004 is 40082090384182.

The square root of 28148309028004 is 5305498.

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 (28148309027989) and next prime (28148309028019).

It can be written as a sum of positive squares in only one way, i.e., 20660642978404 + 7487666049600 = 4545398^2 + 2736360^2 .

It is a super-3 number, since 3×28148309028004³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

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, 40735613299 + ... + 40735613989.

Almost surely, 2^{28148309028004} is an apocalyptic number.

28148309028004 is the 5305498-th square number.

It is an amenable number.

28148309028004 is a deficient number, since it is larger than the sum of its proper divisors (26230758696509).

28148309028004 is an frugal number, since it uses more digits than its factorization.

28148309028004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The spelling of 28148309028004 in words is "twenty-eight trillion, one hundred forty-eight billion, three hundred nine million, twenty-eight thousand, four".