49928400 has 300 divisors, whose sum is σ = 189770592. Its totient is φ = 12545280.

The previous prime is 49928393. The next prime is 49928413. The reversal of 49928400 is 482994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 745167 + ... + 745233.

Almost surely, 2^49928400 is an apocalyptic number.

49928400 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 49928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94885296).

49928400 is an abundant number, since it is smaller than the sum of its proper divisors (139842192).

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

49928400 is a wasteful number, since it uses less digits than its factorization.

49928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 49928400 is about 7066.0031135006. The cubic root of 49928400 is about 368.2272147541.

The spelling of 49928400 in words is "forty-nine million, nine hundred twenty-eight thousand, four hundred".