869128400 has 360 divisors, whose sum is σ = 2748306240. Its totient is φ = 257126400.

The previous prime is 869128399. The next prime is 869128423. The reversal of 869128400 is 4821968.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28036385 + ... + 28036415.

It is an arithmetic number, because the mean of its divisors is an integer number (7634184).

Almost surely, 2^869128400 is an apocalyptic number.

869128400 is a gapful number since it is divisible by the number (80) 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 869128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374153120).

869128400 is an abundant number, since it is smaller than the sum of its proper divisors (1879177840).

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

869128400 is a wasteful number, since it uses less digits than its factorization.

869128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 869128400 is about 29480.9837013625. The cubic root of 869128400 is about 954.3213657713.

The spelling of 869128400 in words is "eight hundred sixty-nine million, one hundred twenty-eight thousand, four hundred".