49828800 has 168 divisors, whose sum is σ = 186960256. Its totient is φ = 11381760.

The previous prime is 49828799. The next prime is 49828813. The reversal of 49828800 is 882894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32859 + ... + 34341.

Almost surely, 2^49828800 is an apocalyptic number.

49828800 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 49828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93480128).

49828800 is an abundant number, since it is smaller than the sum of its proper divisors (137131456).

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

49828800 is a wasteful number, since it uses less digits than its factorization.

49828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 49828800 is about 7058.9517635411. The cubic root of 49828800 is about 367.9821982567.

The spelling of 49828800 in words is "forty-nine million, eight hundred twenty-eight thousand, eight hundred".