49328000 has 64 divisors (see below), whose sum is σ = 122681520. Its totient is φ = 19724800.

The previous prime is 49327997. The next prime is 49328011. The reversal of 49328000 is 82394.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14459 + ... + 17541.

Almost surely, 2^49328000 is an apocalyptic number.

49328000 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 49328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61340760).

49328000 is an abundant number, since it is smaller than the sum of its proper divisors (73353520).

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

49328000 is an equidigital number, since it uses as much as digits as its factorization.

49328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 49328000 is about 7023.3894951085. The cubic root of 49328000 is about 366.7452540460.

The spelling of 49328000 in words is "forty-nine million, three hundred twenty-eight thousand".