49634628 has 48 divisors (see below), whose sum is σ = 123125184. Its totient is φ = 15508480.

The previous prime is 49634623. The next prime is 49634633. The reversal of 49634628 is 82643694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49634623) and next prime (49634633).

It is a self number, because there is not a number n which added to its sum of digits gives 49634628.

It is not an unprimeable number, because it can be changed into a prime (49634623) 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, 95008 + ... + 95528.

It is an arithmetic number, because the mean of its divisors is an integer number (2565108).

Almost surely, 2^49634628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49634628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61562592).

49634628 is an abundant number, since it is smaller than the sum of its proper divisors (73490556).

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

49634628 is a wasteful number, since it uses less digits than its factorization.

49634628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 49634628 is about 7045.1847385289. The cubic root of 49634628 is about 367.5035938378.

It can be divided in two parts, 4963 and 4628, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 49634628 in words is "forty-nine million, six hundred thirty-four thousand, six hundred twenty-eight".