43628894400 has 1008 divisors, whose sum is σ = 189006236160. Its totient is φ = 8709120000.

The previous prime is 43628894399. The next prime is 43628894429. The reversal of 43628894400 is 449882634.

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 43628894400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58094025 + ... + 58094775.

Almost surely, 2^43628894400 is an apocalyptic number.

43628894400 is a gapful number since it is divisible by the number (40) 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 43628894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94503118080).

43628894400 is an abundant number, since it is smaller than the sum of its proper divisors (145377341760).

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

43628894400 is a wasteful number, since it uses less digits than its factorization.

43628894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 43628894400 in words is "forty-three billion, six hundred twenty-eight million, eight hundred ninety-four thousand, four hundred".