28452400416 has 192 divisors, whose sum is σ = 90882570240. Its totient is φ = 8588401920.

The previous prime is 28452400411. The next prime is 28452400429. The reversal of 28452400416 is 61400425482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28452400411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2493861 + ... + 2505243.

It is an arithmetic number, because the mean of its divisors is an integer number (473346720).

Almost surely, 2^28452400416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28452400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45441285120).

28452400416 is an abundant number, since it is smaller than the sum of its proper divisors (62430169824).

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

28452400416 is a wasteful number, since it uses less digits than its factorization.

28452400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11676 (or 11662 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 28452400416 its reverse (61400425482), we get a palindrome (89852825898).

The spelling of 28452400416 in words is "twenty-eight billion, four hundred fifty-two million, four hundred thousand, four hundred sixteen".