49128894360 has 768 divisors, whose sum is σ = 207085132800. Its totient is φ = 10198628352.

The previous prime is 49128894313. The next prime is 49128894383. The reversal of 49128894360 is 6349882194.

49128894360 is a `hidden beast` number, since 4 + 9 + 128 + 89 + 436 + 0 = 666.

It is a super-2 number, since 2×49128894360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49128894297 and 49128894306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59262426 + ... + 59263254.

It is an arithmetic number, because the mean of its divisors is an integer number (269642100).

Almost surely, 2^49128894360 is an apocalyptic number.

49128894360 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 49128894360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103542566400).

49128894360 is an abundant number, since it is smaller than the sum of its proper divisors (157956238440).

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

49128894360 is a wasteful number, since it uses less digits than its factorization.

49128894360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 49128894360 in words is "forty-nine billion, one hundred twenty-eight million, eight hundred ninety-four thousand, three hundred sixty".