4977528192 has 1024 divisors, whose sum is σ = 20563200000. Its totient is φ = 1170505728.

The previous prime is 4977528169. The next prime is 4977528239. The reversal of 4977528192 is 2918257794.

4977528192 is a `hidden beast` number, since 49 + 77 + 528 + 1 + 9 + 2 = 666.

It is a super-3 number, since 3×4977528192³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261975159 + ... + 261975177.

It is an arithmetic number, because the mean of its divisors is an integer number (20081250).

Almost surely, 2^4977528192 is an apocalyptic number.

4977528192 is a gapful number since it is divisible by the number (42) 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 4977528192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600000).

4977528192 is an abundant number, since it is smaller than the sum of its proper divisors (15585671808).

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

4977528192 is a wasteful number, since it uses less digits than its factorization.

4977528192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 4977528192 is about 70551.5994999405. The cubic root of 4977528192 is about 1707.4103491778.

The spelling of 4977528192 in words is "four billion, nine hundred seventy-seven million, five hundred twenty-eight thousand, one hundred ninety-two".