247051728 has 240 divisors, whose sum is σ = 900745920. Its totient is φ = 64108800.

The previous prime is 247051711. The next prime is 247051733. The reversal of 247051728 is 827150742.

It is a super-2 number, since 2×247051728² = 122069112615571968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 247051692 and 247051701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232318 + ... + 233378.

It is an arithmetic number, because the mean of its divisors is an integer number (3753108).

Almost surely, 2^247051728 is an apocalyptic number.

247051728 is a gapful number since it is divisible by the number (28) 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 247051728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450372960).

247051728 is an abundant number, since it is smaller than the sum of its proper divisors (653694192).

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

247051728 is a wasteful number, since it uses less digits than its factorization.

247051728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 247051728 is about 15717.8792462597. The cubic root of 247051728 is about 627.4743325850.

The spelling of 247051728 in words is "two hundred forty-seven million, fifty-one thousand, seven hundred twenty-eight".