49728000 has 320 divisors, whose sum is σ = 194059008. Its totient is φ = 11059200.

The previous prime is 49727983. The next prime is 49728053. The reversal of 49728000 is 82794.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343982 + ... + 1344018.

Almost surely, 2^49728000 is an apocalyptic number.

49728000 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 49728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97029504).

49728000 is an abundant number, since it is smaller than the sum of its proper divisors (144331008).

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

49728000 is an equidigital number, since it uses as much as digits as its factorization.

49728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 49728000 is about 7051.8082787325. The cubic root of 49728000 is about 367.7338971029.

The spelling of 49728000 in words is "forty-nine million, seven hundred twenty-eight thousand".