28800901 has 8 divisors (see below), whose sum is σ = 29674008. Its totient is φ = 27936000.

The previous prime is 28800883. The next prime is 28800913. The reversal of 28800901 is 10900882.

28800901 = T₁₄ + T₁₅ + ... + T₅₅₆.

It can be written as a sum of positive squares in 4 ways, for example, as 763876 + 28037025 = 874^2 + 5295^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 28800901 - 2⁷ = 28800773 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28800901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28800931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5481 + ... + 9361.

It is an arithmetic number, because the mean of its divisors is an integer number (3709251).

Almost surely, 2^28800901 is an apocalyptic number.

It is an amenable number.

28800901 is a deficient number, since it is larger than the sum of its proper divisors (873107).

28800901 is a wasteful number, since it uses less digits than its factorization.

28800901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 28800901 is about 5366.6470910616. The cubic root of 28800901 is about 306.5269694278.

The spelling of 28800901 in words is "twenty-eight million, eight hundred thousand, nine hundred one".