49628160 has 176 divisors, whose sum is σ = 176860800. Its totient is φ = 13197312.

The previous prime is 49628153. The next prime is 49628167. The reversal of 49628160 is 6182694.

49628160 = T₃₃₆ + T₃₃₇ + ... + T₆₉₄.

49628160 is a `hidden beast` number, since 496 + 2 + 8 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (49628153) and next prime (49628167).

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

It is not an unprimeable number, because it can be changed into a prime (49628167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138061 + ... + 138419.

Almost surely, 2^49628160 is an apocalyptic number.

49628160 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 49628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88430400).

49628160 is an abundant number, since it is smaller than the sum of its proper divisors (127232640).

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

49628160 is a wasteful number, since it uses less digits than its factorization.

49628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 369 counting only the distinct ones).

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

The square root of 49628160 is about 7044.7256866396. The cubic root of 49628160 is about 367.4876297377.

The spelling of 49628160 in words is "forty-nine million, six hundred twenty-eight thousand, one hundred sixty".