48329280 has 168 divisors, whose sum is σ = 168917112. Its totient is φ = 12681216.

The previous prime is 48329273. The next prime is 48329287. The reversal of 48329280 is 8292384.

It is an interprime number because it is at equal distance from previous prime (48329273) and next prime (48329287).

It can be written as a sum of positive squares in 4 ways, for example, as 12616704 + 35712576 = 3552^2 + 5976^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48329287) 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, 279274 + ... + 279446.

It is an arithmetic number, because the mean of its divisors is an integer number (1005459).

Almost surely, 2^48329280 is an apocalyptic number.

48329280 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 48329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84458556).

48329280 is an abundant number, since it is smaller than the sum of its proper divisors (120587832).

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

48329280 is a wasteful number, since it uses less digits than its factorization.

48329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48329280 is about 6951.9263517388. The cubic root of 48329280 is about 364.2532553053.

The spelling of 48329280 in words is "forty-eight million, three hundred twenty-nine thousand, two hundred eighty".