49128000 has 224 divisors, whose sum is σ = 171175680. Its totient is φ = 12390400.

The previous prime is 49127999. The next prime is 49128031. The reversal of 49128000 is 82194.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 551956 + ... + 552044.

Almost surely, 2^49128000 is an apocalyptic number.

49128000 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 49128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85587840).

49128000 is an abundant number, since it is smaller than the sum of its proper divisors (122047680).

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

49128000 is a wasteful number, since it uses less digits than its factorization.

49128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 49128000 is about 7009.1368940833. The cubic root of 49128000 is about 366.2489273771.

The spelling of 49128000 in words is "forty-nine million, one hundred twenty-eight thousand".