48328560 has 240 divisors, whose sum is σ = 190654464. Its totient is φ = 10741248.

The previous prime is 48328547. The next prime is 48328573. The reversal of 48328560 is 6582384.

It is an interprime number because it is at equal distance from previous prime (48328547) and next prime (48328573).

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 216609 + ... + 216831.

Almost surely, 2^48328560 is an apocalyptic number.

48328560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48328560 is the 4014-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95327232).

48328560 is an abundant number, since it is smaller than the sum of its proper divisors (142325904).

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

48328560 is a wasteful number, since it uses less digits than its factorization.

48328560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48328560 is about 6951.8745673379. The cubic root of 48328560 is about 364.2514464388.

The spelling of 48328560 in words is "forty-eight million, three hundred twenty-eight thousand, five hundred sixty".