28527470400 has 1008 divisors, whose sum is σ = 116197562880. Its totient is φ = 6062284800.

The previous prime is 28527470399. The next prime is 28527470437. The reversal of 28527470400 is 407472582.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 205233531 + ... + 205233669.

It is an arithmetic number, because the mean of its divisors is an integer number (115275360).

Almost surely, 2^28527470400 is an apocalyptic number.

28527470400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28527470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58098781440).

28527470400 is an abundant number, since it is smaller than the sum of its proper divisors (87670092480).

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

28527470400 is a wasteful number, since it uses less digits than its factorization.

28527470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 28527470400 in words is "twenty-eight billion, five hundred twenty-seven million, four hundred seventy thousand, four hundred".