247772928 has 216 divisors, whose sum is σ = 754088832. Its totient is φ = 72044544.

The previous prime is 247772927. The next prime is 247772947. The reversal of 247772928 is 829277742.

It is a happy number.

It is a super-3 number, since 3×247772928³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247772927) 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, 2985175 + ... + 2985257.

It is an arithmetic number, because the mean of its divisors is an integer number (3491152).

Almost surely, 2^247772928 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 247772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377044416).

247772928 is an abundant number, since it is smaller than the sum of its proper divisors (506315904).

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

247772928 is a wasteful number, since it uses less digits than its factorization.

247772928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 247772928 is about 15740.8045537704. The cubic root of 247772928 is about 628.0843193475.

The spelling of 247772928 in words is "two hundred forty-seven million, seven hundred seventy-two thousand, nine hundred twenty-eight".