49105728 has 168 divisors, whose sum is σ = 169590720. Its totient is φ = 13271040.

The previous prime is 49105723. The next prime is 49105733. The reversal of 49105728 is 82750194.

It is an interprime number because it is at equal distance from previous prime (49105723) and next prime (49105733).

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

It is a super-2 number, since 2×49105728² = 4822745044819968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 49105692 and 49105701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49105723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76288 + ... + 76928.

Almost surely, 2^49105728 is an apocalyptic number.

49105728 is a gapful number since it is divisible by the number (48) 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 49105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84795360).

49105728 is an abundant number, since it is smaller than the sum of its proper divisors (120484992).

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

49105728 is a wasteful number, since it uses less digits than its factorization.

49105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 49105728 is about 7007.5479306245. The cubic root of 49105728 is about 366.1935731386.

The spelling of 49105728 in words is "forty-nine million, one hundred five thousand, seven hundred twenty-eight".