28106638028400 has 120 divisors (see below), whose sum is σ = 90039816819504. Its totient is φ = 7494696704000.

The previous prime is 28106638028333. The next prime is 28106638028407. The reversal of 28106638028400 is 482083660182.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28106638028400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28106638028407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21814972 + ... + 23067428.

Almost surely, 2^{28106638028400} is an apocalyptic number.

28106638028400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28106638028400 is an abundant number, since it is smaller than the sum of its proper divisors (61933178791104).

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

28106638028400 is a wasteful number, since it uses less digits than its factorization.

28106638028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271179 (or 1271168 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 28106638028400 in words is "twenty-eight trillion, one hundred six billion, six hundred thirty-eight million, twenty-eight thousand, four hundred".